Journal of Functional Analysis最新文献

{"title":"Probability versions of Li-Yau type inequalities and applications","authors":"Li-Juan Cheng ,&nbsp;Feng-Yu Wang","doi":"10.1016/j.jfa.2025.111181","DOIUrl":"10.1016/j.jfa.2025.111181","url":null,"abstract":"<div><div>By using stochastic analysis, two probability versions of Li-Yau type inequalities are established for diffusion semigroups on a manifold possibly with (non-convex) boundary. The inequalities are explicitly given by the Bakry-Emery curvature-dimension, as well as the lower bound of the second fundamental form if the boundary is non-empty. As applications, a number of global and local estimates are presented, which extend or improve existing ones derived for manifolds without boundary. Compared with the maximum principle technique developed in the literature, the probabilistic argument we used is more straightforward and hence considerably simpler.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 1","pages":"Article 111181"},"PeriodicalIF":1.6,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145061205","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":"Toolbox of para-differential calculus on compact Lie groups","authors":"Chengyang Shao","doi":"10.1016/j.jfa.2025.111176","DOIUrl":"10.1016/j.jfa.2025.111176","url":null,"abstract":"<div><div>This paper provides a toolbox of para-differential calculus on compact Lie groups. The toolbox is based on representation theory of compact Lie groups and contains exact formulas of symbolic calculus. Para-differential operators are constructed in a global, coordinate-free manner, giving lower order terms in symbolic calculus a clear form. The toolbox helps to understand non-local, nonlinear differential operators defined on certain manifolds with high symmetry.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"290 1","pages":"Article 111176"},"PeriodicalIF":1.6,"publicationDate":"2025-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145020194","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":"Weyl groups of groupoid C*-algebras","authors":"Fuyuta Komura","doi":"10.1016/j.jfa.2025.111166","DOIUrl":"10.1016/j.jfa.2025.111166","url":null,"abstract":"<div><div>In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalization of the existing Weyl groups. Then we analyse several groups of automorphisms on groupoid C*-algebras. Finally, we apply our results to Cuntz algebras, graph algebras and C*-algebras associated with Deaconu–Renault systems.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111166"},"PeriodicalIF":1.6,"publicationDate":"2025-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144885612","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":"Chain rule for weighted Triebel-Lizorkin spaces","authors":"Sean Douglas","doi":"10.1016/j.jfa.2025.111165","DOIUrl":"10.1016/j.jfa.2025.111165","url":null,"abstract":"<div><div>In this paper we establish a fractional chain rule in the setting of weighted Triebel-Lizorkin spaces. Notably, this provides a fractional chain rule for weighted Lebesgue spaces, <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup><mo>(</mo><mi>w</mi><mo>)</mo></math></span>, for <span><math><mi>p</mi><mo>≤</mo><mn>1</mn></math></span>. Additionally, an explicit relationship between the smoothness index, integrability index, and the choice of weights is determined.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111165"},"PeriodicalIF":1.6,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144893221","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 Denjoy-Wolff theorem for bounded symmetric domains","authors":"Cho-Ho Chu","doi":"10.1016/j.jfa.2025.111161","DOIUrl":"10.1016/j.jfa.2025.111161","url":null,"abstract":"<div><div>Let <em>D</em> be a bounded symmetric domain of finite rank, realised as the open unit ball of a complex Banach space, which can be infinite dimensional. Given a fixed-point free compact holomorphic map <span><math><mi>f</mi><mo>:</mo><mi>D</mi><mo>⟶</mo><mi>D</mi></math></span>, with iterates<span><span><span><math><msup><mrow><mi>f</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>=</mo><munder><munder><mrow><mi>f</mi><mo>∘</mo><mo>⋯</mo><mo>∘</mo><mi>f</mi></mrow><mo>︸</mo></munder><mrow><mtext>n</mtext><mtext>-times</mtext></mrow></munder><mo>,</mo></math></span></span></span> such that the limit points of one orbit <span><math><mo>{</mo><mi>a</mi><mo>,</mo><mi>f</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>,</mo><msup><mrow><mi>f</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><mi>a</mi><mo>)</mo><mo>,</mo><mo>…</mo><mo>}</mo></math></span> in an <em>f</em>-invariant horoball of unit hororadius lie in the extended Shilov boundary of <em>D</em>, we show that there is a holomorphic boundary component Γ of <em>D</em>, with closure <span><math><mover><mrow><mi>Γ</mi></mrow><mo>‾</mo></mover></math></span>, such that <span><math><mi>ℓ</mi><mo>(</mo><mi>D</mi><mo>)</mo><mo>⊂</mo><mover><mrow><mi>Γ</mi></mrow><mo>‾</mo></mover></math></span> for <em>all</em> subsequential limits <span><math><mi>ℓ</mi><mo>=</mo><msub><mrow><mi>lim</mi></mrow><mrow><mi>k</mi><mo>→</mo><mo>∞</mo></mrow></msub><mo>⁡</mo><msup><mrow><mi>f</mi></mrow><mrow><msub><mrow><mi>n</mi></mrow><mrow><mi>k</mi></mrow></msub></mrow></msup></math></span> of <span><math><mo>(</mo><msup><mrow><mi>f</mi></mrow><mrow><mi>n</mi></mrow></msup><mo>)</mo></math></span>.</div><div>This generalises the Denjoy-Wolff theorem for a fixed-point free holomorphic self-map <em>f</em> on the disc <span><math><mi>D</mi><mo>=</mo><mo>{</mo><mi>z</mi><mo>∈</mo><mi>C</mi><mo>:</mo><mo>|</mo><mi>z</mi><mo>|</mo><mo>&lt;</mo><mn>1</mn><mo>}</mo></math></span>.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111161"},"PeriodicalIF":1.6,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867438","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":"Banach algebras associated to twisted étale groupoids: Inverse semigroup disintegration and representations on Lp-spaces","authors":"Krzysztof Bardadyn,&nbsp;Bartosz Kwaśniewski,&nbsp;Andrew McKee","doi":"10.1016/j.jfa.2025.111163","DOIUrl":"10.1016/j.jfa.2025.111163","url":null,"abstract":"<div><div>We introduce Banach algebras associated to twisted étale groupoids <span><math><mo>(</mo><mi>G</mi><mo>,</mo><mi>L</mi><mo>)</mo></math></span> and to twisted inverse semigroup actions. This provides a unifying framework for numerous recent papers on <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span>-operator algebras and the theory of groupoid <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebras. We prove disintegrations theorems that allow to study Banach algebras associated to <span><math><mo>(</mo><mi>G</mi><mo>,</mo><mi>L</mi><mo>)</mo></math></span> as universal Banach algebras generated by <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mi>X</mi><mo>)</mo></math></span> and a twisted inverse semigroup <em>S</em> of partial isometries subject to some relations. They work best when the target of a representation is a dual Banach algebra. For representations on dual Banach spaces, they allow to extend representations to twisted Borel convolution algebras, which is crucial when the groupoid is non-Hausdorff.</div><div>We establish fundamental norm estimates and hierarchy for full and reduced <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span>-operator algebras for <span><math><mo>(</mo><mi>G</mi><mo>,</mo><mi>L</mi><mo>)</mo></math></span> and <span><math><mi>p</mi><mo>∈</mo><mo>[</mo><mn>1</mn><mo>,</mo><mo>∞</mo><mo>]</mo></math></span>, whose special cases have been studied recently by Gardella–Lupini, Choi–Gardella–Thiel and Hetland–Ortega. We show that in the constructions of <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span>-analogues of Cuntz or graph algebras, by Phillips and Cortiñas–Rodríguez, the use of spatial partial isometries is not an assumption, in fact it is forced by the relations. We also introduce tight inverse semigroup Banach algebras that cover ample groupoid Banach algebras, and discuss Banach algebras associated to directed graphs.</div><div>Our results cover non-Hausdorff étale groupoids and both real and complex algebras. Some of the results are new already for complex <span><math><msup><mrow><mi>C</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>-algebras.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111163"},"PeriodicalIF":1.6,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867439","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":"Local well-posedness of subcritical non-linear heat equations with Gaussian initial data","authors":"Ilya Chevyrev ,&nbsp;Hora Mirsajjadi","doi":"10.1016/j.jfa.2025.111160","DOIUrl":"10.1016/j.jfa.2025.111160","url":null,"abstract":"<div><div>We show that any non-linear heat equation with scaling critical dimension −1 is locally well-posed when its initial condition is taken as the Gaussian free field in fractional dimension <span><math><mi>d</mi><mo>&lt;</mo><mn>4</mn></math></span>. Our results in particular extend the well-posedness results of <span><span>[11]</span></span>, <span><span>[14]</span></span> from <span><math><mi>d</mi><mo>=</mo><mn>3</mn></math></span> to the entire subcritical regime.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111160"},"PeriodicalIF":1.6,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144866990","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":"Magnetic Steklov problem on surfaces","authors":"Mihajlo Cekić ,&nbsp;Anna Siffert","doi":"10.1016/j.jfa.2025.111159","DOIUrl":"10.1016/j.jfa.2025.111159","url":null,"abstract":"<div><div>The magnetic Dirichlet-to-Neumann map encodes the voltage-to-current measurements under the influence of a magnetic field. In the case of surfaces, we provide precise spectral asymptotics expansion (up to arbitrary polynomial power) for the eigenvalues of this map. Moreover, we consider the inverse spectral problem and from the expansion we show that the spectrum of the magnetic Dirichlet-to-Neumann map, in favourable situations, uniquely determines the number and the length of boundary components, the parallel transport and the magnetic flux along boundary components. In general, we show that the situation complicates compared to the case when there is no magnetic field. For instance, there are plenty of examples where the expansion does <em>not</em> detect the number of boundary components, and this phenomenon is thoroughly studied in the paper.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111159"},"PeriodicalIF":1.6,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144867440","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":"Asymptotic zeros' distribution of orthogonal polynomials with unbounded recurrence coefficients","authors":"Grzegorz Świderski ,&nbsp;Bartosz Trojan","doi":"10.1016/j.jfa.2025.111162","DOIUrl":"10.1016/j.jfa.2025.111162","url":null,"abstract":"<div><div>We study the spectrum of finite truncations of unbounded Jacobi matrices with periodically modulated entries. In particular, we show that under some hypotheses a sequence of properly normalized eigenvalue counting measures converges vaguely to an explicit infinite Radon measure. To do so, we link the asymptotic behavior of the Christoffel–Darboux kernels on the diagonal with the limiting measure. Finally, we derive strong asymptotics of the associated orthogonal polynomials in the complex plane, which allows us to prove that Cauchy transforms of the normalized eigenvalue counting measures converge pointwise and which leads to a stronger notion of convergence.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111162"},"PeriodicalIF":1.6,"publicationDate":"2025-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144866991","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":"C⁎-exactness and property A for group actions","authors":"Hiroto Nishikawa","doi":"10.1016/j.jfa.2025.111164","DOIUrl":"10.1016/j.jfa.2025.111164","url":null,"abstract":"<div><div>For an action of a discrete group Γ on a set <em>X</em>, we show that the Schreier graph on <em>X</em> has property A if and only if the permutation representation on <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub><mi>X</mi></math></span> generates an exact <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>*</mi></mrow></msup></math></span>-algebra. This is well known in the case of the left regular action on <span><math><mi>X</mi><mo>=</mo><mi>Γ</mi></math></span> as the equivalence of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mi>*</mi></mrow></msup></math></span>-exactness and property A of its Cayley graph. This also generalizes Sako's theorem, which states that exactness of the uniform Roe algebra <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mi>u</mi></mrow><mrow><mi>*</mi></mrow></msubsup><mo>(</mo><mi>X</mi><mo>)</mo></math></span> characterizes property A of <em>X</em> when <em>X</em> is uniformly locally finite.</div></div>","PeriodicalId":15750,"journal":{"name":"Journal of Functional Analysis","volume":"289 12","pages":"Article 111164"},"PeriodicalIF":1.6,"publicationDate":"2025-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144906894","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}