Annals of Functional Analysis最新文献_第7页

Perturbations by nilpotent operators in a multiplier algebra 乘子代数中幂零算子的扰动

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-25 DOI: 10.1007/s43034-025-00480-y

P. W. Ng, T. Robin, Arindam Sutradhar

引用次数: 0

Measures and trajectory properties in oscillator systems 振子系统的测量和轨迹特性

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-24 DOI: 10.1007/s43034-025-00484-8

Vsevolod Sakbaev, Igor Volovich

{"title":"Measures and trajectory properties in oscillator systems","authors":"Vsevolod Sakbaev, Igor Volovich","doi":"10.1007/s43034-025-00484-8","DOIUrl":"10.1007/s43034-025-00484-8","url":null,"abstract":"<div>This paper investigates the properties of trajectories in harmonic oscillator systems equipped with a point, absolutely continuous, or singular measure. Infinite-dimensional linear flows of countable oscillator systems exhibit a new class of trajectory behavior. Specifically, these trajectories are non-periodic, and their projections onto any four-dimensional symplectic subspace fail to be dense in the corresponding projection of the invariant torus. Such trajectories do not arise in finite-dimensional systems, are non-generic for countable oscillator systems, but become generic in the continual case. It is proved that for a countable harmonic oscillators system, every point on a nondegenerate invariant torus is a non-wandering point of the flow. Conversely, for a continuous system with an absolutely continuous measure, all points on such a torus are wandering. Furthermore, for continuous systems with singular measure, sufficient conditions on the measure and the torus are established, excluding the existence of both transitive trajectories and non-wandering points. As an application, a class of singular Bernoulli measures satisfying these conditions is presented.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145612437","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

Hereditarily and nonhereditarily complete systems of vectors in a Hilbert space 希尔伯特空间中遗传和非遗传完备的向量系统

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-19 DOI: 10.1007/s43034-025-00481-x

Mikhail Prokofyev

引用次数: 0

Weak property ((omega )) for two-by-two operator matrices 二乘二算子矩阵的弱性质((omega ))

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-16 DOI: 10.1007/s43034-025-00477-7

Jiong Dong

引用次数: 0

Ideal spaces of the Haagerup tensor product of ternary rings of operators 算子的三元环的Haagerup张量积的理想空间

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-09 DOI: 10.1007/s43034-025-00479-5

Vandana Rajpal, Arpit Kansal

引用次数: 0

Martingale inequalities in variable Lorentz–Karamata spaces 变Lorentz-Karamata空间中的鞅不等式

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-07 DOI: 10.1007/s43034-025-00478-6

Zhiwei Hao, Xinru Ding, Libo Li, Ferenc Weisz

引用次数: 0

Real Paley–Wiener theorems for the linear canonical Dunkl transform 线性正则Dunkl变换的真正Paley-Wiener定理

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-11-06 DOI: 10.1007/s43034-025-00476-8

S. Umamaheswari, Sandeep Kumar Verma, Hatem Mejjaoli

引用次数: 0

Mean value characterizations of harmonic, subharmonic and metaharmonic functions associated with the Dunkl Laplacian 与Dunkl拉普拉斯算子相关的调和、次调和和亚调和函数的均值表征

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-10-31 DOI: 10.1007/s43034-025-00451-3

Chaabane Rejeb

{"title":"Mean value characterizations of harmonic, subharmonic and metaharmonic functions associated with the Dunkl Laplacian","authors":"Chaabane Rejeb","doi":"10.1007/s43034-025-00451-3","DOIUrl":"10.1007/s43034-025-00451-3","url":null,"abstract":"<div>Consider the Dunkl Laplacian (Delta _k) associated with a root system (Phi) in (mathbb {R}^d) and a nonnegative multiplicity function k on (Phi). By following Stein (Proc Natl Acad Sci USA 73(7):2174–2175, 1976) and Strichartz (Trans Am Math Soc 148(2):461–471, 1970), we introduce and investigate a family of (Delta _k)-averaging operators parameterized by (alpha ge 0). This family includes the (Delta _k)-spherical and (Delta _k)-volume mean operators as special cases. We prove that, for each order (alpha ge 0), the averaging operator of order (alpha) satisfies a (Delta _k)-Pizzetti formula. In addition, we establish that this family of the (alpha)-averaging operators provides various mean value characterizations of harmonic, polyharmonic, subharmonic and metaharmonic functions in the Dunkl setting. Furthermore, some of these characterizations yield new mean value properties for the usual classes of such functions associated with the standard Laplace operator.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145406227","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

Schatten class localization operators with Lorentz symbols 带洛伦兹符号的Schatten类定位算子

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-10-28 DOI: 10.1007/s43034-025-00475-9

Weichao Guo, Shifei Lin, Guoping Zhao

引用次数: 0

Pointwise multipliers of inhomogeneous Besov and Triebel–Lizorkin spaces on spaces of homogeneous type 齐次空间上非齐次Besov和triiebel - lizorkin空间的点乘子

IF 1 3区数学

Annals of Functional Analysis Pub Date : 2025-10-26 DOI: 10.1007/s43034-025-00466-w

Zhexu Bai, Fan Wang

{"title":"Pointwise multipliers of inhomogeneous Besov and Triebel–Lizorkin spaces on spaces of homogeneous type","authors":"Zhexu Bai, Fan Wang","doi":"10.1007/s43034-025-00466-w","DOIUrl":"10.1007/s43034-025-00466-w","url":null,"abstract":"<div>Let (({mathcal {X}},d,mu )) be a space of homogeneous type with the upper dimension (omega). In this work, the authors characterize the sets of all pointwise multipliers of inhomogeneous Besov spaces (B_{p,q}^{s}( {mathcal {X}} )) and inhomogeneous Triebel–Lizorkin spaces (F_{p,q}^{s}({mathcal {X}})). When (pin [1,infty ]) and (s>frac{omega }{p}), the authors show that the set of all pointwise multipliers of (B_{p,q}^{s}({mathcal {X}})) equals to (B_{p,q,text {unif}}^{s}({mathcal {X}})) for (qin [p,infty )) or (M_{p,q}^{s}({mathcal {X}})) for (qin (0,p)) if and only if ({mathcal {X}}) supports the local lower and upper bound. Corresponding results for (F_{p,q}^{s}({mathcal {X}})) with (p,qin (1,infty )) and (s>frac{omega }{p}) are also obtained. When (ple 1) (or (p=infty)), the authors establish a characterization of the collection of all pointwise multipliers of (B_{p,p}^{s}({mathcal {X}})) [or (B_{infty ,q}^{s}({mathcal {X}}))], which does not need any extra assumption on (mu) and is even new when ({mathcal {X}}) supports the Ahlfors regular condition.</div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"17 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145405597","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