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Annals of Functional Analysis最新文献

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Toeplitz operators with symbols in (L^1(textbf{D})) on Bergman spaces with variable exponent 变指数Bergman空间上(L^1(textbf{D}))符号的Toeplitz算子
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-10-03 DOI: 10.1007/s43034-025-00469-7
Gerardo A. Chacón, Gerardo R. Chacón, Humberto Rafeiro
{"title":"Toeplitz operators with symbols in (L^1(textbf{D})) on Bergman spaces with variable exponent","authors":"Gerardo A. Chacón,&nbsp;Gerardo R. Chacón,&nbsp;Humberto Rafeiro","doi":"10.1007/s43034-025-00469-7","DOIUrl":"10.1007/s43034-025-00469-7","url":null,"abstract":"<div><p>We establish a boundary condition on the variable exponent <i>p</i>, for which the operators <span>(U_z:fmapsto (fcirc varphi _z)varphi '_z)</span> are bounded in <span>(A^{p(cdot )}(textbf{D}))</span>. This boundary condition enables us to investigate the boundedness and compactness of Toeplitz operators <span>(T_varphi)</span> with symbols <span>(varphi)</span> in <span>(L^1(textbf{D}))</span>, via the functions <span>(zmapsto Vert U_zT_varphi U_z(mathbbm {1})Vert _{L^{p(cdot )}(textbf{D})})</span> and <span>(zmapsto Vert U_zT_{overline{varphi }}U_z(mathbbm {1})Vert _{L^{p(cdot )}(textbf{D})})</span>.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145210871","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}
引用次数: 0
On a consequence of Picone’s identity for a fractional p-Laplacian 关于分数阶p-拉普拉斯算子的Picone恒等式的一个推论
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-30 DOI: 10.1007/s43034-025-00472-y
H. P. Bueno, M. R. Marcial, G. A. Pereira
{"title":"On a consequence of Picone’s identity for a fractional p-Laplacian","authors":"H. P. Bueno,&nbsp;M. R. Marcial,&nbsp;G. A. Pereira","doi":"10.1007/s43034-025-00472-y","DOIUrl":"10.1007/s43034-025-00472-y","url":null,"abstract":"<div><p>Although a Fractional Picone’s inequality is already known for problems dealing with fractional <i>p</i>-Laplacian, one of its consequences is missing, the one usually used to prove the nonexistence of solutions. In this paper, we prove this result (see Theorem 1.2) and, as a consequence, we deal with a fractional <i>p</i>-Laplacian problem with Dirichlet boundary conditions and a nonlinearity involving a supercritical exponential term. We also study the asymptotic behavior of its solutions as <span>(prightarrow 1^+)</span> and <span>(prightarrow infty)</span>, which are related to the Cheeger constant and the distance function, respectively.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145211012","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}
引用次数: 0
Commuting Toeplitz operators with harmonic polynomial symbols on the Newton space 牛顿空间上调和多项式符号的交换Toeplitz算子
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-30 DOI: 10.1007/s43034-025-00474-w
Xianchi Tian, Xianfeng Zhao
{"title":"Commuting Toeplitz operators with harmonic polynomial symbols on the Newton space","authors":"Xianchi Tian,&nbsp;Xianfeng Zhao","doi":"10.1007/s43034-025-00474-w","DOIUrl":"10.1007/s43034-025-00474-w","url":null,"abstract":"<div><p>In this paper, we establish a necessary and sufficient condition for two Toeplitz operators with harmonic polynomial symbols to commute on the Newton space. This condition is similar to the theorem proved by Brown–Halmos for Toeplitz operators on the Hardy space, and is also analogous to the result obtained by Axler–Čučković for Toeplitz operators with harmonic symbols on the Bergman space.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145211013","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}
引用次数: 0
Three-dimensional magnetic Schrödinger operator with the potential supported in a tube 三维磁性Schrödinger操作器，电势支撑在一个管中
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-17 DOI: 10.1007/s43034-025-00473-x
Diana Barseghyan, Juan Bory-Reyes, Baruch Schneider
{"title":"Three-dimensional magnetic Schrödinger operator with the potential supported in a tube","authors":"Diana Barseghyan,&nbsp;Juan Bory-Reyes,&nbsp;Baruch Schneider","doi":"10.1007/s43034-025-00473-x","DOIUrl":"10.1007/s43034-025-00473-x","url":null,"abstract":"<div><p>In this paper, we study the following magnetic Schrödinger operator in <span>(mathbb {R}^3)</span>: </p><div><div><span>$$H=(i nabla +A)^2- tilde{V},$$</span></div></div><p>where <span>(tilde{V})</span> is non-negative potential supported over the tube built along a curve which is a local deformation of a straight one, and <span>(B:=textrm{curl}(A))</span> is a non-zero and local (i.e., a compact supported) magnetic field. We prove that the magnetic field does not alter the essential spectrum of this system and establish a sufficient condition for the discrete spectrum to be empty.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145073967","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}
引用次数: 0
Littlewood–Paley functions associated with general Ornstein–Uhlenbeck semigroups 一般Ornstein-Uhlenbeck半群相关的Littlewood-Paley函数
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-16 DOI: 10.1007/s43034-025-00457-x
Víctor Almeida, Jorge J. Betancor, Juan C. Fariña, Pablo Quijano, Lourdes Rodríguez-Mesa
{"title":"Littlewood–Paley functions associated with general Ornstein–Uhlenbeck semigroups","authors":"Víctor Almeida,&nbsp;Jorge J. Betancor,&nbsp;Juan C. Fariña,&nbsp;Pablo Quijano,&nbsp;Lourdes Rodríguez-Mesa","doi":"10.1007/s43034-025-00457-x","DOIUrl":"10.1007/s43034-025-00457-x","url":null,"abstract":"<div><p>In this paper, <span>(L^p(mathbb {R}^d,gamma _infty ))</span>-boundedness properties for Littlewood–Paley g-functions involving time and spatial derivatives of Ornstein–Uhlenbeck semigroups are established. Here, <span>(gamma _infty)</span> denotes the invariant measure. To prove the strong type results for <span>(1&lt;p&lt; {infty})</span>, we use <i>R</i>-boundedness. The weak type (1,1) property is established by studying separately global and local operators defined for the Littlewood–Paley g-functions. By the way <span>(L^p(mathbb {R}^d,gamma _infty ))</span>-boundedness properties for maximal and variation operators for Ornstein–Uhlenbeck semigroups are proved.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00457-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145165701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Countability conditions in locally solid convergence spaces 局部实收敛空间中的可数条件
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-15 DOI: 10.1007/s43034-025-00433-5
Eugene Bilokopytov, Viktor Bohdanskyi, Jan Harm van der Walt
{"title":"Countability conditions in locally solid convergence spaces","authors":"Eugene Bilokopytov,&nbsp;Viktor Bohdanskyi,&nbsp;Jan Harm van der Walt","doi":"10.1007/s43034-025-00433-5","DOIUrl":"10.1007/s43034-025-00433-5","url":null,"abstract":"<div><p>We study (strong) first countability of locally solid convergence structures on Archimedean vector lattices. Among other results, we characterise those vector lattices for which relatively uniform-, order-, and <span>(sigma)</span>-order convergence, respectively, is (strongly) first countable. The implications for the validity of sequential arguments in the contexts of these convergence structures are pointed out.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00433-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145057713","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Distance between two resolvent families 两个有解决能力的家庭之间的距离
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-13 DOI: 10.1007/s43034-025-00471-z
Chen-Yu Li
{"title":"Distance between two resolvent families","authors":"Chen-Yu Li","doi":"10.1007/s43034-025-00471-z","DOIUrl":"10.1007/s43034-025-00471-z","url":null,"abstract":"<div><p>This paper investigates the asymptotic behavior of fractional resolvent families in Banach spaces. We establish new results on operator equivalence under asymptotic approximation conditions, develop stability criteria for resolvent families, and extend Datko’s theorem to the fractional setting. The main technical tools include spectral theory, Laplace transform methods, and refined estimates of Mittag-Leffler functions.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037306","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}
引用次数: 0
On the energy of the ground state solution for a generalized Kadomtsev–Petviashvili equation 广义Kadomtsev-Petviashvili方程基态解的能量
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-12 DOI: 10.1007/s43034-025-00470-0
Claudianor O. Alves, Giovany M. Figueiredo, Marcelo Montenegro
{"title":"On the energy of the ground state solution for a generalized Kadomtsev–Petviashvili equation","authors":"Claudianor O. Alves,&nbsp;Giovany M. Figueiredo,&nbsp;Marcelo Montenegro","doi":"10.1007/s43034-025-00470-0","DOIUrl":"10.1007/s43034-025-00470-0","url":null,"abstract":"<div><p>We show that there exists a ground state solution for a generalized Kadomtsev–Petviashvili equation in <span>(mathbb {R}^2)</span>. We prove that the ground state solution has energy equal to the mountain pass level of the functional corresponding to the equation.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037345","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}
引用次数: 0
Tensor products of semi-closed operators and applications 半闭算子的张量积及其应用
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-09-04 DOI: 10.1007/s43034-025-00467-9
Go Hirasawa
{"title":"Tensor products of semi-closed operators and applications","authors":"Go Hirasawa","doi":"10.1007/s43034-025-00467-9","DOIUrl":"10.1007/s43034-025-00467-9","url":null,"abstract":"<div><p>We introduce the <i>q</i>-tensor product of semi-closed operators. Related basic properties between algebraic tensor products, tensor products and <i>q</i>-tensor products are studied. The <i>q</i>-tensor product of semi-closed or closed projections is considered. It is shown that the tensor product can be defined for ‘non-densely defined’ closable operators using properties of <i>q</i>-tensor products. As applications, we investigate relations between (<i>q</i>-) tensor products and the Krein—von Neumann extension of a semi-closed positive symmetric operator with the positively closable condition.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144990579","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}
引用次数: 0
An extension of Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies 玻尔等价定理在具有不同频率集合的指数多项式情况下的推广
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-08-26 DOI: 10.1007/s43034-025-00460-2
J. M. Sepulcre, T. Vidal
{"title":"An extension of Bohr’s equivalence theorem to the case of exponential polynomials with distinct sets of frequencies","authors":"J. M. Sepulcre,&nbsp;T. Vidal","doi":"10.1007/s43034-025-00460-2","DOIUrl":"10.1007/s43034-025-00460-2","url":null,"abstract":"<div><p>Inspired by Bohr’s equivalence relation concerning general Dirichlet series, in this paper we introduce a new equivalence relation on certain classes of exponential polynomials whose sets of frequencies are not necessarily equal. We first characterize this equivalence relation through a new perspective, and finally we obtain an improvement of Bohr’s equivalence theorem for the case of these finite exponential sums.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00460-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905251","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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