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Annals of Functional Analysis最新文献

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(L^p)-(L^q) boundedness of continuous linear operators on smooth manifolds (L^p)- (L^q)光滑流形上连续线性算子的有界性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-23 DOI: 10.1007/s43034-025-00437-1
Duván Cardona Sánchez, Vishvesh Kumar, Michael Ruzhansky, Niyaz Tokmagambetov
{"title":"(L^p)-(L^q) boundedness of continuous linear operators on smooth manifolds","authors":"Duván Cardona Sánchez,&nbsp;Vishvesh Kumar,&nbsp;Michael Ruzhansky,&nbsp;Niyaz Tokmagambetov","doi":"10.1007/s43034-025-00437-1","DOIUrl":"10.1007/s43034-025-00437-1","url":null,"abstract":"<div><p>In this paper, we study the boundedness of global continuous linear operators on smooth manifolds. Using the notion of a global symbol, we extend a classical condition of Hörmander type to guarantee the <span>(L^p)</span>-<span>(L^q)</span>-boundedness of global operators. Our approach links the mapping properties of continuous linear operators on smooth manifolds with the <span>(L^p)</span>-estimates of eigenfunctions of operators including a variety of examples, harmonic oscillators, anharmonic oscillators, etc. First, we investigate <span>(L^p)</span>-boundedness of pseudo-multipliers in the setting of Hörmander–Mihlin type conditions. We also prove <span>(L^infty)</span>-<i>BMO</i> estimates for pseudo-multipliers. Later, we concentrate our investigation to settle <span>(L^p)</span>-<span>(L^q)</span> boundedness of the Fourier multipliers and pseudo-multipliers operators for the range <span>(1&lt;p le 2 le q&lt;infty .)</span> On the way to achieve our goal of <span>(L^p)</span>-<span>(L^q)</span> boundedness, we prove two classical inequalities, namely, Paley inequality and Hausdorff–Young–Paley inequality for smooth manifolds. Finally, we present some examples about the well-posedness of abstract non-linear equations.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00437-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168812","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
Disjoint (mathscr {F})-transitivity and topological multiple recurrence of weighted composition operators on (H(mathbb {D})) 不相交(mathscr {F}) -上加权复合算子的传递性和拓扑多重递归 (H(mathbb {D}))
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-18 DOI: 10.1007/s43034-025-00441-5
Li Zhang, Cui Chen
{"title":"Disjoint (mathscr {F})-transitivity and topological multiple recurrence of weighted composition operators on (H(mathbb {D}))","authors":"Li Zhang,&nbsp;Cui Chen","doi":"10.1007/s43034-025-00441-5","DOIUrl":"10.1007/s43034-025-00441-5","url":null,"abstract":"<div><p>Let <span>(S(mathbb {D}))</span> and <span>(H(mathbb {D}))</span> denote the class of holomorphic self-maps and holomorphic functions on the open unit disk <span>(mathbb {D})</span> in the complex plane <span>(mathbb {C})</span>, respectively. Given <span>(varphi _kin S(mathbb {D}))</span> and <span>(w_kin H(mathbb {D}))</span> for <span>(k=1,2,ldots ,N)</span>, we investigate the disjoint <span>(mathscr {F})</span>-transitivity of the weighted composition operators <span>(C_{w_1,varphi _1},ldots ,C_{w_N,varphi _N})</span> on <span>(H(mathbb {D}))</span>. Moreover, we present a condition on the inducing symbols to ensure the topological multiple recurrence of a single weighted composition operator.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166414","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
Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies k图上的自相似群类群作用和k-论对环同伦的不变性
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-17 DOI: 10.1007/s43034-025-00440-6
Alexander Mundey, Aidan Sims
{"title":"Self-similar groupoid actions on k-graphs, and invariance of K-theory for cocycle homotopies","authors":"Alexander Mundey,&nbsp;Aidan Sims","doi":"10.1007/s43034-025-00440-6","DOIUrl":"10.1007/s43034-025-00440-6","url":null,"abstract":"<div><p>We establish conditions under which an inclusion of finitely aligned left-cancellative small categories induces inclusions of twisted <span>(C^*)</span>-algebras. We also present an example of an inclusion of finitely aligned left-cancellative monoids that does not induce a homomorphism even between (untwisted) Toeplitz algebras. We prove that the twisted <span>(C^*)</span>-algebras of a jointly faithful self-similar action of a countable discrete amenable groupoid on a row-finite <i>k</i>-graph with no sources, with respect to homotopic cocycles, have isomorphic <i>K</i>-theory.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00440-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145166460","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
On complex symmetric weighted shifts. II 关于复对称加权移位。2
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-08 DOI: 10.1007/s43034-025-00429-1
Piotr Budzyński
{"title":"On complex symmetric weighted shifts. II","authors":"Piotr Budzyński","doi":"10.1007/s43034-025-00429-1","DOIUrl":"10.1007/s43034-025-00429-1","url":null,"abstract":"<div><p>Assorted weighted shifts over finite rooted directed trees are studied. Their complex symmetry is characterized.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00429-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163515","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
Facets of noncommutative geometry of Hensel–Steinitz algebras Hensel-Steinitz代数的非交换几何facet
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-06 DOI: 10.1007/s43034-025-00444-2
Shelley Hebert, Slawomir Klimek, Matt McBride, J. Wilson Peoples
{"title":"Facets of noncommutative geometry of Hensel–Steinitz algebras","authors":"Shelley Hebert,&nbsp;Slawomir Klimek,&nbsp;Matt McBride,&nbsp;J. Wilson Peoples","doi":"10.1007/s43034-025-00444-2","DOIUrl":"10.1007/s43034-025-00444-2","url":null,"abstract":"<div><p>We discuss various aspects of noncommutative geometry of smooth subalgebras of Hensel–Steinitz algebras. In particular, we study the structure of derivations and <i>K</i>-Theory of those smooth subalgebras.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162693","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 invariant subspaces for idempotents 幂等的不变子空间
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-05 DOI: 10.1007/s43034-025-00428-2
Xiao-Ming Xu, Mi Yan, Yuan Li
{"title":"On invariant subspaces for idempotents","authors":"Xiao-Ming Xu,&nbsp;Mi Yan,&nbsp;Yuan Li","doi":"10.1007/s43034-025-00428-2","DOIUrl":"10.1007/s43034-025-00428-2","url":null,"abstract":"<div><p>In this paper, a characterization of the invariant subspaces for idempotents on a Hilbert space is established. The problems when two orthogonal projections have a finite dimensional common invariant subspace and when an idempotent has a finite dimensional reducing subspace are also treated.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145162452","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
Strong type estimates of maximal functions in Choquet integral spaces associated with weighted local Riesz capacities 与加权局部Riesz能力相关的Choquet积分空间中极大函数的强型估计
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-03 DOI: 10.1007/s43034-025-00442-4
Keng Hao Ooi
{"title":"Strong type estimates of maximal functions in Choquet integral spaces associated with weighted local Riesz capacities","authors":"Keng Hao Ooi","doi":"10.1007/s43034-025-00442-4","DOIUrl":"10.1007/s43034-025-00442-4","url":null,"abstract":"<div><p>The strong type boundedness of Choquet-type maximal function associated with the weighted local Riesz capacities is tackled. The weights are assumed to be of local Muckenhoupt class. The technique of proof uses interpolation and fundamental properties of nonlinear potential.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161558","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
Multilinear strongly singular integral operators with generalized kernels on RD-spaces rd -空间上具有广义核的多线性强奇异积分算子
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-25 DOI: 10.1007/s43034-025-00430-8
Kang Chen, Yan Lin, ShuHui Yang
{"title":"Multilinear strongly singular integral operators with generalized kernels on RD-spaces","authors":"Kang Chen,&nbsp;Yan Lin,&nbsp;ShuHui Yang","doi":"10.1007/s43034-025-00430-8","DOIUrl":"10.1007/s43034-025-00430-8","url":null,"abstract":"<div><p>In this article, we introduce a class of multilinear strongly singular integral operators with generalized kernels on the RD-space. The boundedness of these operators on weighted Lebesgue spaces is established. Moreover, two types of endpoint estimates and their boundedness on generalized weighted Morrey spaces are obtained. Our results further generalize the relevant conclusions on generalized kernels in Euclidean spaces. Moreover, the weak-type results on weighted Lebesgue spaces are brand new even in the situation of Euclidean spaces. In addition, when the generalized kernels degenerate into classical kernels, our research results also extend the relevant known results. It is worth mentioning that our RD-spaces are more general than theirs.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144131494","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
Well-posedness and linearization for a semilinear wave equation with spatially growing nonlinearity 具有空间增长非线性的半线性波动方程的适定性和线性化
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-23 DOI: 10.1007/s43034-025-00427-3
Dhouha Draouil, Mohamed Majdoub
{"title":"Well-posedness and linearization for a semilinear wave equation with spatially growing nonlinearity","authors":"Dhouha Draouil,&nbsp;Mohamed Majdoub","doi":"10.1007/s43034-025-00427-3","DOIUrl":"10.1007/s43034-025-00427-3","url":null,"abstract":"<div><p>We study the initial value problem for a defocusing semi-linear wave equation with spatially growing nonlinearity. By employing Moser–Trudinger-type inequalities and Strichartz estimates, we establish global well-posedness in the energy space for radially symmetric initial data. Furthermore, we derive the linearization of energy-bounded solutions using the methodology introduced in Gérard (J Funct Anal 141:60–98, 1996). The main challenge in our analysis arises from the spatial growth of the nonlinearity at infinity, which prevents the direct application of Sobolev embeddings or Hardy inequalities to control the potential energy. The main novelty of this work lies in overcoming this challenge within the radial framework through the combined application of the Strauss inequality and Strichartz estimates.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117636","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
Infinitely many solutions for a class of p-Kirchhoff-type equations with critical exponent 一类具有临界指数的p- kirchhoff型方程的无穷多解
IF 1.2 3区 数学
Annals of Functional Analysis Pub Date : 2025-05-21 DOI: 10.1007/s43034-025-00439-z
L. C. Paes-Leme, E. M. Martins, M. R. Marcial, W. M. Ferreira
{"title":"Infinitely many solutions for a class of p-Kirchhoff-type equations with critical exponent","authors":"L. C. Paes-Leme,&nbsp;E. M. Martins,&nbsp;M. R. Marcial,&nbsp;W. M. Ferreira","doi":"10.1007/s43034-025-00439-z","DOIUrl":"10.1007/s43034-025-00439-z","url":null,"abstract":"<div><p>In this paper, we consider a class of <i>p</i>-Kirchhoff-type problem with critical exponent. Using Krasnoselskii’s genus theory and the concentration-compactness principle, due to Lions, we demonstrate the existence of infinitely many solutions. </p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.2,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100206","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
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