Journal of Functional Analysis最新文献

{"title":"On von Neumann algebras generated by free Poisson random weights","authors":"Zhiyuan Yang","doi":"10.1016/j.jfa.2026.111358","DOIUrl":"10.1016/j.jfa.2026.111358","url":null,"abstract":"<div><div>We study a generalization of free Poisson random measure by replacing the intensity measure with a n.s.f. weight <em>φ</em> on a von Neumann algebra <em>M</em>. We give an explicit construction of the free Poisson random weight using full Fock space over the Hilbert space <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><mi>M</mi><mo>,</mo><mi>φ</mi><mo>)</mo></math></span> and study the free Poisson von Neumann algebra <span><math><mi>Γ</mi><mo>(</mo><mi>M</mi><mo>,</mo><mi>φ</mi><mo>)</mo></math></span> generated by this random weight. This construction can be viewed as a free Poisson type functor for left Hilbert algebras similar to Voiculescu's free Gaussian functor for Hilbert spaces. When <span><math><mi>φ</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>&lt;</mo><mo>∞</mo></math></span>, we show that <span><math><mi>Γ</mi><mo>(</mo><mi>M</mi><mo>,</mo><mi>φ</mi><mo>)</mo></math></span> can be decomposed into free product of other algebras. For a general weight <em>φ</em>, we prove that <span><math><mi>Γ</mi><mo>(</mo><mi>M</mi><mo>,</mo><mi>φ</mi><mo>)</mo></math></span> is a factor if and only if <span><math><mi>φ</mi><mo>(</mo><mn>1</mn><mo>)</mo><mo>≥</mo><mn>1</mn></math></span> and <span><math><mi>M</mi><mo>≠</mo><mi>C</mi></math></span>. The second quantization of subunital weight decreasing completely positive maps is studied. By considering a degenerate version of left Hilbert algebras, we are also able to treat free Araki-Woods algebras as special cases of free Poisson algebras for degenerate left Hilbert algebras. We show that the Lévy-Itô decomposition of a jointly freely infinitely divisible family (in a tracial probability space) can in fact be interpreted as a decomposition of a degenerate left Hilbert algebra. Finally, as an application, we give a realization of any additive time-parameterized free Lévy process as unbounded operators in a full Fock space. Using this realization, we show that the filtration algebras of any additive free Lévy process are always interpolated group factors with a possible additional atom.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111358"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145969417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Fractional boundary Hardy inequality for the critical cases","authors":"Adimurthi,&nbsp;Prosenjit Roy,&nbsp;Vivek Sahu","doi":"10.1016/j.jfa.2026.111351","DOIUrl":"10.1016/j.jfa.2026.111351","url":null,"abstract":"<div><div>We establish generalized fractional boundary Hardy-type inequality, in the spirit of Caffarelli-Kohn-Nirenberg inequality for different values of <em>s</em> and <em>p</em> on various domains in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup><mo>,</mo><mspace></mspace><mi>d</mi><mo>≥</mo><mn>1</mn></math></span>. In particular, for Lipschitz bounded domains any values of <em>s</em> and <em>p</em> are admissible, settling all the cases in subcritical, supercritical and critical regime. In this paper we have solved the open problems posed by Dyda for the critical case <span><math><mi>s</mi><mi>p</mi><mo>=</mo><mn>1</mn></math></span>. Moreover we have proved the embeddings of <span><math><msubsup><mrow><mi>W</mi></mrow><mrow><mn>0</mn></mrow><mrow><mi>s</mi><mo>,</mo><mi>p</mi></mrow></msubsup><mo>(</mo><mi>Ω</mi><mo>)</mo></math></span> in subcritical, critical and supercritical uniformly without using Dyda's decomposition. Additionally, we extend our results to include a weighted fractional boundary Hardy-type inequality for the critical case.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111351"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Landau damping and survival threshold","authors":"Toan T. Nguyen","doi":"10.1016/j.jfa.2026.111357","DOIUrl":"10.1016/j.jfa.2026.111357","url":null,"abstract":"<div><div>In this paper, we establish the large time asymptotic behavior of solutions to the linearized Vlasov-Poisson system near general spatially homogeneous equilibria <span><math><mi>μ</mi><mo>(</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mo>|</mo><mi>v</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></math></span> with connected support on the torus <span><math><msubsup><mrow><mi>T</mi></mrow><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msubsup><mo>×</mo><msubsup><mrow><mi>R</mi></mrow><mrow><mi>v</mi></mrow><mrow><mn>3</mn></mrow></msubsup></math></span> or on the whole space <span><math><msubsup><mrow><mi>R</mi></mrow><mrow><mi>x</mi></mrow><mrow><mn>3</mn></mrow></msubsup><mo>×</mo><msubsup><mrow><mi>R</mi></mrow><mrow><mi>v</mi></mrow><mrow><mn>3</mn></mrow></msubsup></math></span>, including those that are non-monotone. The problem can be solved completely mode by mode for each spatial wave number, and their longtime dynamics is intimately tied to the “survival threshold” of wave numbers computed by<span><span><span><math><msubsup><mrow><mi>κ</mi></mrow><mrow><mn>0</mn></mrow><mrow><mn>2</mn></mrow></msubsup><mo>=</mo><mn>4</mn><mi>π</mi><munderover><mo>∫</mo><mrow><mn>0</mn></mrow><mrow><mi>ϒ</mi></mrow></munderover><mfrac><mrow><msup><mrow><mi>u</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>μ</mi><mo>(</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><msup><mrow><mi>u</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>)</mo></mrow><mrow><msup><mrow><mi>ϒ</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>−</mo><msup><mrow><mi>u</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mspace></mspace><mi>d</mi><mi>u</mi></math></span></span></span> where ϒ is the maximal speed of particle velocities. It is shown that purely oscillatory electric fields exist and obey a Klein-Gordon's type dispersion relation for wave numbers below and up to the threshold, thus rigorously confirming the existence of Langmuir's oscillatory waves for a non-trivial range of spatial frequencies in this linearized setting. At the threshold, the phase velocity of these oscillatory waves enters the range of admissible particle velocities, namely there are particles that move at the same propagation speed of the waves. It is this exact resonant interaction between particles and the oscillatory fields that causes the waves to be damped, classically known as Landau damping. Landau's law of decay is explicitly computed and is sensitive to the decaying rate of the background equilibria. The faster it decays at the maximal velocity, the weaker Landau damping is. Beyond the threshold, the electric fields are a perturbation of those generated by the free transport dynamics and thus decay rapidly fast due to the phase mixing mechanism.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111357"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036481","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Contractive realization theory for the annulus and other intersections of disks on the Riemann sphere","authors":"Radomił Baran ,&nbsp;Piotr Pikul ,&nbsp;Hugo J. Woerdeman ,&nbsp;Michał Wojtylak","doi":"10.1016/j.jfa.2026.111346","DOIUrl":"10.1016/j.jfa.2026.111346","url":null,"abstract":"<div><div>We develop contractive finite dimensional realizations for rational matrix functions of one variable on domains that are not simply connected, such as the annulus. The proof uses multivariable contractive realization results as well as abstract operator algebra techniques. Other results include new bounds for the Bohr radius of the bidisk and the annulus.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111346"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146075006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space","authors":"Yi Gao,&nbsp;Kui Wang","doi":"10.1016/j.jfa.2026.111379","DOIUrl":"10.1016/j.jfa.2026.111379","url":null,"abstract":"<div><div>We prove a sharp isoperimetric inequality for the harmonic mean of the first <span><math><mi>m</mi><mo>−</mo><mn>1</mn></math></span> nonzero Neumann eigenvalues for Lipschitz domains symmetric about the origin in Gauss space. Our result generalizes the Szegö-Weinberger type inequality in Gauss space, which was proven by Chiacchio and Di Blasio in <span><span>[12, Theorem 4.1]</span></span>.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111379"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146074992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Lower semicontinuity and existence results for anisotropic TV functionals with signed measure data","authors":"Eleonora Ficola,&nbsp;Thomas Schmidt","doi":"10.1016/j.jfa.2026.111350","DOIUrl":"10.1016/j.jfa.2026.111350","url":null,"abstract":"<div><div>We study the minimization of anisotropic total variation functionals with additional measure terms among functions of bounded variation subject to a Dirichlet boundary condition. More specifically, we identify and characterize certain isoperimetric conditions, which prove to be sharp assumptions on the signed measure data in connection with semicontinuity, existence, and relaxation results. Furthermore, we present a variety of examples which elucidate our assumptions and results.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111350"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The free boundary for a superlinear system","authors":"Daniela De Silva ,&nbsp;Seongmin Jeon ,&nbsp;Henrik Shahgholian","doi":"10.1016/j.jfa.2026.111363","DOIUrl":"10.1016/j.jfa.2026.111363","url":null,"abstract":"<div><div>In this paper, we study superlinear systems that give rise to free boundaries. Such systems appear for example from the minimization of the energy functional<span><span><span><math><munder><mo>∫</mo><mrow><mi>Ω</mi></mrow></munder><mrow><mo>(</mo><mo>|</mo><mi>∇</mi><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><mfrac><mrow><mn>2</mn></mrow><mrow><mi>p</mi></mrow></mfrac><mo>|</mo><mi>u</mi><msup><mrow><mo>|</mo></mrow><mrow><mi>p</mi></mrow></msup><mo>)</mo></mrow><mo>,</mo><mspace></mspace><mn>0</mn><mo>&lt;</mo><mi>p</mi><mo>&lt;</mo><mn>1</mn><mo>,</mo></math></span></span></span> but solutions can be also understood in an ad hoc viscosity way.</div><div>First, we prove the optimal regularity of minimizers using a variational approach. Then, we apply a linearization technique to establish the <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn><mo>,</mo><mi>α</mi></mrow></msup></math></span>-regularity of the “flat” part of the free boundary via a viscosity method. Finally, for minimizing free boundaries, we extend this result to analyticity.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111363"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146074901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"K-theory and structural properties of C⁎-algebras associated with relative generalized Boolean dynamical systems","authors":"Toke Meier Carlsen ,&nbsp;Eun Ji Kang","doi":"10.1016/j.jfa.2026.111348","DOIUrl":"10.1016/j.jfa.2026.111348","url":null,"abstract":"<div><div>We present an explicit formula for the <em>K</em>-theory of the <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebra associated with a relative generalized Boolean dynamical system <span><math><mo>(</mo><mi>B</mi><mo>,</mo><mi>L</mi><mo>,</mo><mi>θ</mi><mo>,</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>;</mo><mi>J</mi><mo>)</mo></math></span>. In particular, we find concrete generators for the <span><math><msub><mrow><mi>K</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span>-group of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>(</mo><mi>B</mi><mo>,</mo><mi>L</mi><mo>,</mo><mi>θ</mi><mo>,</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>;</mo><mi>J</mi><mo>)</mo></math></span>. We also prove that every gauge-invariant ideal of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>(</mo><mi>B</mi><mo>,</mo><mi>L</mi><mo>,</mo><mi>θ</mi><mo>,</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>;</mo><mi>J</mi><mo>)</mo></math></span> is Morita equivalent to a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebra of a relative generalized Boolean dynamical system.</div><div>As a structural application, we show that if the underlying Boolean dynamical system <span><math><mo>(</mo><mi>B</mi><mo>,</mo><mi>L</mi><mo>,</mo><mi>θ</mi><mo>)</mo></math></span> satisfies Condition (K), then the associated <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebra is <span><math><msub><mrow><mi>K</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>-liftable. Furthermore, we deduce that if <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>(</mo><mi>B</mi><mo>,</mo><mi>L</mi><mo>,</mo><mi>θ</mi><mo>,</mo><msub><mrow><mi>I</mi></mrow><mrow><mi>α</mi></mrow></msub><mo>;</mo><mi>J</mi><mo>)</mo></math></span> is separable and purely infinite, then it has real rank zero.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111348"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146074900","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Non-strict singularity of optimal Sobolev embeddings","authors":"Jan Lang ,&nbsp;Zdeněk Mihula","doi":"10.1016/j.jfa.2026.111344","DOIUrl":"10.1016/j.jfa.2026.111344","url":null,"abstract":"<div><div>We investigate the operator-theoretic property of strict singularity for optimal Sobolev embeddings within the general framework of rearrangement-invariant function spaces (r.i. spaces).</div><div>More specifically, we focus on studying the “quality” of non-compactness for optimal Sobolev embeddings <span><math><msubsup><mrow><mi>V</mi></mrow><mrow><mn>0</mn></mrow><mrow><mi>m</mi></mrow></msubsup><mi>X</mi><mo>(</mo><mi>Ω</mi><mo>)</mo><mo>→</mo><msub><mrow><mi>Y</mi></mrow><mrow><mi>X</mi></mrow></msub><mo>(</mo><mi>Ω</mi><mo>)</mo></math></span>, where <em>X</em> is a given r.i. space and <span><math><msub><mrow><mi>Y</mi></mrow><mrow><mi>X</mi></mrow></msub></math></span> is the corresponding optimal target r.i. space (i.e., the smallest among all r.i. spaces).</div><div>For the class of sub-limiting norms (i.e., the norms whose fundamental function satisfies <span><math><msub><mrow><mi>φ</mi></mrow><mrow><msub><mrow><mi>Y</mi></mrow><mrow><mi>X</mi></mrow></msub></mrow></msub><mo>(</mo><mi>t</mi><mo>)</mo><mo>≈</mo><msup><mrow><mi>t</mi></mrow><mrow><mo>−</mo><mi>m</mi><mo>/</mo><mi>n</mi></mrow></msup><msub><mrow><mi>φ</mi></mrow><mrow><mi>X</mi></mrow></msub><mo>(</mo><mi>t</mi><mo>)</mo></math></span> as <span><math><mi>t</mi><mo>→</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>+</mo></mrow></msup></math></span>), we construct suitable spike-function sequences that establish a general framework for proving non-strict singularity of optimal (and thus non-compact) sublimiting Sobolev embeddings.</div><div>As an application, we show that optimal sublimiting Sobolev embeddings are not strictly singular in a rather large subclass of r.i. spaces, namely weighted Lambda spaces <span><math><mi>X</mi><mo>=</mo><msubsup><mrow><mi>Λ</mi></mrow><mrow><mi>w</mi></mrow><mrow><mi>q</mi></mrow></msubsup></math></span>, <span><math><mi>q</mi><mo>∈</mo><mo>[</mo><mn>1</mn><mo>,</mo><mo>∞</mo><mo>)</mo></math></span>. Except for the endpoint case <span><math><mi>X</mi><mo>=</mo><msup><mrow><mi>L</mi></mrow><mrow><mi>n</mi><mo>/</mo><mi>m</mi><mo>,</mo><mn>1</mn></mrow></msup></math></span>, our spike-function construction enables us to construct a subspace of <span><math><msubsup><mrow><mi>V</mi></mrow><mrow><mn>0</mn></mrow><mrow><mi>m</mi></mrow></msubsup><mi>X</mi></math></span> that is isomorphic to <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>q</mi></mrow></msub></math></span>, which we then leverage to prove the non-strict singularity of the corresponding optimal Sobolev embedding.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111344"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146036485","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A splitting theorem for manifolds with nonnegative spectral Ricci curvature and mean convex boundary","authors":"Han Hong ,&nbsp;Gaoming Wang","doi":"10.1016/j.jfa.2026.111381","DOIUrl":"10.1016/j.jfa.2026.111381","url":null,"abstract":"<div><div>We prove a splitting theorem for a smooth noncompact manifold with (possibly noncompact) boundary. We show that if a noncompact manifold of dimension <span><math><mi>n</mi><mo>≥</mo><mn>2</mn></math></span> has <span><math><msub><mrow><mi>λ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mo>−</mo><mi>α</mi><mi>Δ</mi><mo>+</mo><mi>Ric</mi><mo>)</mo><mo>≥</mo><mn>0</mn></math></span> for some <span><math><mi>α</mi><mo>&lt;</mo><mfrac><mrow><mn>4</mn></mrow><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></mfrac></math></span> and mean convex boundary, then it is either isometric to <span><math><mi>Σ</mi><mo>×</mo><msub><mrow><mi>R</mi></mrow><mrow><mo>≥</mo><mn>0</mn></mrow></msub></math></span> for a closed manifold Σ with nonnegative Ricci curvature or it has no interior ends.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 8","pages":"Article 111381"},"PeriodicalIF":1.6,"publicationDate":"2026-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146075049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}