Annals of Functional Analysis最新文献

{"title":"A functorial approach to multi-space interpolation with function parameters","authors":"Thomas Lamby,&nbsp;Samuel Nicolay","doi":"10.1007/s43034-026-00544-7","DOIUrl":"10.1007/s43034-026-00544-7","url":null,"abstract":"<div><p>We develop a functorial interpolation theory for finite families of Banach spaces associated with Boyd-function parameters. This framework unifies two classical extensions of real interpolation—interpolation with function parameters and interpolation of multiple spaces—by providing a common functorial framework encompassing both interpolation with function parameters and interpolation of multiple spaces. Within this unified setting, we establish the equivalence between the associated <i>K</i>- and <i>J</i>-methods and investigate the resulting interpolation functors. In particular, we prove a power theorem together with several stability and reiteration results. Finally, we illustrate the scope of the theory by identifying interpolation spaces for generalized Sobolev and Lorentz spaces, obtaining generalized Besov spaces as interpolation spaces and deriving reiteration formulas for interpolation of multiple spaces.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Mapping properties of bilinear Calderón–Zygmund operators and their commutators in variable exponents Morrey-type spaces over stratified Lie groups","authors":"Guanghui Lu,&nbsp;Miaomiao Wang,&nbsp;Shuangping Tao","doi":"10.1007/s43034-026-00542-9","DOIUrl":"10.1007/s43034-026-00542-9","url":null,"abstract":"<div><p>Let <span>(mathbb {G})</span> be a stratified Lie group which is a finite-dimensional, stratified and nilpotent Lie algebra <span>(mathcal {G})</span>, and <i>Q</i> be a homogeneous dimension of the groups <span>(mathbb {G})</span>. In this setting, we prove that a bilinear Calderón–Zygmund operator <span>(widetilde{T})</span> is bounded from product of variable exponent generalized Morrey spaces <span>(mathcal {L}^{p_{1}(cdot ),varphi _{1}}(mathbb {G})times mathcal {L}^{p_{2}(cdot ),varphi _{2}}(mathbb {G}))</span> into spaces <span>(mathcal {L}^{p(cdot ),varphi }(mathbb {G}))</span>, and it is bounded from product of variable exponent generalized fractional Morrey spaces <span>(L^{p_{1}(cdot ),psi ,eta _{1}}(mathbb {G}) times L^{p_{2}(cdot ),psi ,eta _{2}}(mathbb {G}))</span> into spaces <span>(L^{p(cdot ),psi ,eta }(mathbb {G}))</span>, where <span>(frac{1}{p(cdot )}=frac{1}{p_{1}(cdot )} +frac{1}{p_{2}(cdot )})</span> for <span>(1&lt;p_{1}(cdot ), p_{2}(cdot )&lt;infty )</span>, Lebesgue measurable functions <span>(varphi _{1}, varphi _{2})</span> and <span>(varphi )</span> belong to the class <span>(W_{p(cdot )}(mathbb {G}))</span> and satisfy <span>(varphi _{1}varphi _{2}=varphi )</span>, and <span>(psi (cdot ))</span> is a positive, increasing function defined on <span>((0,infty ))</span> meeting doubling properties. Furthermore, via the <span>((L^{p_{1}(cdot )}(mathbb {G})times L^{p_{2}(cdot )}(mathbb {G}), L^{p(cdot )}(mathbb {G})))</span> -boundedness of the commutator <span>(widetilde{T}_{b_{1},b_{2}})</span> generated by <span>(b_{1}, b_{2}in textrm{BMO}(mathbb {G}))</span> and the <span>(widetilde{T})</span>, we prove that the <span>(widetilde{T}_{b_{1},b_{2}})</span> is bounded from product of spaces <span>(mathcal {L}^{p_{1}(cdot ),varphi _{1}}(mathbb {G}) times mathcal {L}^{p_{2}(cdot ),varphi _{2}}(mathbb {G}))</span> into spaces <span>(mathcal {L}^{p(cdot ),varphi }(mathbb {G}))</span>, and it is also bounded from product of spaces <span>(L^{p_{1}(cdot ),psi ,eta _{1}}(mathbb {G})times L^{p_{2}(cdot ),psi ,eta _{2}}(mathbb {G}))</span> into spaces <span>(L^{p(cdot ),psi ,eta }(mathbb {G}))</span>. As corollaries, the boundedness of the commutator <span>(widetilde{T}_{b_{1},b_{2}})</span> associated with Lipschitz-type spaces on product of spaces <span>(mathcal {L}^{p_{1}(cdot ),varphi _{1}}(mathbb {G}) times mathcal {L}^{p_{2}(cdot ),varphi _{2}}(mathbb {G}))</span> and product of spaces <span>(L^{p_{1}(cdot ),psi ,eta _{1}}(mathbb {G}) times L^{p_{2}(cdot ),psi ,eta _{2}}(mathbb {G}))</span> is obtained.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986812","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Weighted boundedness criteria for oscillatory integral operators via sharp maximal function estimates","authors":"Xi Cen","doi":"10.1007/s43034-026-00541-w","DOIUrl":"10.1007/s43034-026-00541-w","url":null,"abstract":"<div><p>We establish criteria for quantitative weighted Lebesgue estimates of oscillatory integral operators in different natural ranges of the decay order <i>m</i> via sharp maximal function estimates. Based on this, we further derive criteria for quantitative weighted bounds between weighted multi-exponent function spaces (including Besov–Lipschitz, Triebel–Lizorkin, and Sobolev spaces), also within the corresponding ranges of the decay order <i>m</i>. Our main results improve the decay range of some linear weighted estimates in Ferreira–Staubach [9, Mem. Amer. Math. Soc., 2014], Cao–Xue–Yabuta [5, J. Funct. Anal., 2020], Beltran–Cladek [3, J. Anal. Math., 2020], and Park–Tomita [20, J. Funct. Anal., 2024], and extend their conclusions to the aforementioned multi-exponent function spaces.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148986448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Polynomial approximation and convergence in variable Lebesgue spaces","authors":"Juan Costa Ponce,&nbsp;Fabián E. Levis,&nbsp;Claudia V. Ridolfi,&nbsp;Claudia N. Rodriguez","doi":"10.1007/s43034-026-00540-x","DOIUrl":"10.1007/s43034-026-00540-x","url":null,"abstract":"<div><p>We study the problem of best local polynomial approximation in variable Lebesgue spaces <span>(L^{p(cdot )},)</span> where the error is measured by an averaged Luxemburg seminorm over measurable sets shrinking to a finite collection of prescribed nodes. In this context, we establish a Pólya-type inequality for algebraic polynomials and develop uniform boundedness and error estimates for nets of best approximants. These results provide the basis for analyzing the asymptotic behavior of best local approximations and their connection to Hermite interpolation. When the number of prescribed nodes does not exceed the dimension of the polynomial space, we identify the limiting approximation explicitly. In the overdetermined case, we characterize the cluster points as solutions of finite-dimensional minimization problems. As an application, we obtain sufficient conditions for the existence of best local approximations of piecewise smooth functions in variable Lebesgue spaces.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148927874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Linear combination of weighted composition operators on weighted Besov–Sobolev spaces","authors":"Yecheng Shi,&nbsp;Songxiao Li","doi":"10.1007/s43034-026-00539-4","DOIUrl":"10.1007/s43034-026-00539-4","url":null,"abstract":"<div><p>The study of linear combinations of weighted composition operators on various analytic function spaces is a natural, yet challenging topic in operator theory. Motivated by the work of Choe, Koo and Wang, we establish estimates for the essential norm of linear combinations of weighted composition operators acting on weighted Besov–Sobolev spaces. Our method integrates reproducing kernel techniques, the Fréchet–Montel principle, and approximation by dilations with a Kolmogorov–Riesz type compactness criterion. We also present several applications of our main results. Consequently, we recover and sharpen the results of Choe et al. [5] and Sharma and Sharma [22].</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782977","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Correction to: Quadratic programming with one quadratic constraint in Hilbert spaces","authors":"Santiago Gonzalez Zerbo,&nbsp;Alejandra Maestripieri,&nbsp;Francisco Martínez Pería","doi":"10.1007/s43034-026-00526-9","DOIUrl":"10.1007/s43034-026-00526-9","url":null,"abstract":"","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Distortion theorems for g-starlike mappings of real order (gamma ) on bounded starlike circular domains in (mathbb {C}^n)","authors":"Tao Xie,&nbsp;Kaidi Guo,&nbsp;Liangpeng Xiong","doi":"10.1007/s43034-026-00538-5","DOIUrl":"10.1007/s43034-026-00538-5","url":null,"abstract":"<div><p>In this paper, we first define the class <span>(mathcal {S}_{g,gamma }^{k+1}(Omega ))</span> of <i>g</i>-starlike mappings of real order <span>(gamma )</span> (<span>(gamma in (0,1])</span>) on the bounded starlike circular domain <span>(Omega )</span> in <span>(mathbb {C}^n)</span> and give the growth theorem for functions <span>(fin mathcal {S}_{g,gamma }^{k+1}(Omega ))</span>, where <span>(z=0)</span> is a zero of order <span>(k+1)</span> of <span>(f(z)-z)</span> and <i>g</i> is a Carathéodory function in <span>(mathbb {D})</span>. Next, as applications of the growth theorem, we will establish the distortion theorems of the Fréchet-derivative type for a subclass of <span>(mathcal {S}_{g,gamma }^{k+1}(Omega ))</span> with a weak restrictive condition. We also establish the distortion theorems of the Jacobi-determinant type for some subclasses of <span>(mathcal {S}_{g,gamma }^{k+1}(Omega ))</span>. Several important results can be obtained indirectly. Our works improve the classic distortion theorem of holomorphic functions from the case in <span>(mathbb {C})</span> to the case on the bounded starlike circular domain in <span>(mathbb {C}^n)</span>.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148751901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Calderon’s construction for cones of decreasing functions in weighted Lebesgue spaces","authors":"Evgenii I. Berezhnoi","doi":"10.1007/s43034-026-00535-8","DOIUrl":"10.1007/s43034-026-00535-8","url":null,"abstract":"<div><p>We give an exact description of Calderón’s construction on a pair of cones of monotonically decreasing functions in weighted Lebesgue spaces. We also establish the interpolation and reiteration theorems for these cones.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750693","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Maps preserving (q)-numerical radii of operator products","authors":"Mohamed Amine Aouichaoui,&nbsp;Gregor Dolinar,&nbsp;Bojan Kuzma","doi":"10.1007/s43034-026-00536-7","DOIUrl":"10.1007/s43034-026-00536-7","url":null,"abstract":"<div><p>We classify additive surjections that preserve the <span>(q)</span>-numerical radius/range of products of operators, where <span>(qin [0,1])</span>.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Maps on (B_s(mathcal {H})) preserving operator pairs whose pencils are nonzero projection multipliers","authors":"Jingxuan Li,&nbsp;Guoxing Ji","doi":"10.1007/s43034-026-00537-6","DOIUrl":"10.1007/s43034-026-00537-6","url":null,"abstract":"<div><p>Let <span>(mathcal {B}_s(mathcal {H}))</span> be the real linear space of all self-adjoint operators on a complex Hilbert space <span>(mathcal {H})</span> with <span>(dim mathcal {H} ge 3)</span>. We characterize all continuous bijections on <span>(mathcal {B}_s(mathcal {H}))</span> preserving operator pairs whose pencils are nonzero projection multipliers in both directions.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}