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Banach Journal of Mathematical Analysis最新文献

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Boundedness of maximal function for weighted Choquet integrals 加权 Choquet 积分最大函数的有界性
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2024-01-16 DOI: 10.1007/s43037-023-00317-7
Keng Hao Ooi
{"title":"Boundedness of maximal function for weighted Choquet integrals","authors":"Keng Hao Ooi","doi":"10.1007/s43037-023-00317-7","DOIUrl":"https://doi.org/10.1007/s43037-023-00317-7","url":null,"abstract":"<p>We study the boundedness of Hardy–Littlewood maximal function on the spaces defined in terms of Choquet integrals associated with weighted Bessel and Riesz capacities. As a consequence, we obtain a class of weighted Sobolev inequalities.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"11 5 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139476266","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}
引用次数: 0
On the reflexivity properties of Banach bundles and Banach modules 论巴拿赫束和巴拿赫模块的反射特性
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-12-15 DOI: 10.1007/s43037-023-00315-9
Milica Lučić, Enrico Pasqualetto, Ivana Vojnović
{"title":"On the reflexivity properties of Banach bundles and Banach modules","authors":"Milica Lučić, Enrico Pasqualetto, Ivana Vojnović","doi":"10.1007/s43037-023-00315-9","DOIUrl":"https://doi.org/10.1007/s43037-023-00315-9","url":null,"abstract":"<p>In this paper, we investigate some reflexivity-type properties of separable measurable Banach bundles over a <span>(sigma )</span>-finite measure space. Our two main results are the following:</p><ul>\u0000<li>\u0000<p>The fibers of a bundle are uniformly convex (with a common modulus of convexity) if and only if the space of its <span>(L^p)</span>-sections is uniformly convex for every <span>(pin (1,infty ))</span>.</p>\u0000</li>\u0000<li>\u0000<p>The fibers of a bundle are reflexive if and only if the space of its <span>(L^p)</span>-sections is reflexive for every <span>(pin (1,infty ))</span>.</p>\u0000</li>\u0000</ul><p> They generalise well-known results for Lebesgue–Bochner spaces.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"27 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138687527","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}
引用次数: 0
Compact linear combinations of composition operators on Hilbert spaces of Dirichlet series Dirichlet级数Hilbert空间上复合算子的紧线性组合
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-12-05 DOI: 10.1007/s43037-023-00314-w
Maofa Wang, Zhongbing Xie
{"title":"Compact linear combinations of composition operators on Hilbert spaces of Dirichlet series","authors":"Maofa Wang, Zhongbing Xie","doi":"10.1007/s43037-023-00314-w","DOIUrl":"https://doi.org/10.1007/s43037-023-00314-w","url":null,"abstract":"<p>We study linear combinations of two composition operators induced by linear symbols on the Hilbert space of Dirichlet series. Based on partial reproducing kernels, we obtain an equivalent inscription of the compactness of a single composition operator and describe the compact linear combinations of composition operators.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":" 6","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138493293","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}
引用次数: 0
Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting 传递算子与条件期望:非对易情况、mu- brown运动情况和白噪声空间设置
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-11-21 DOI: 10.1007/s43037-023-00313-x
Daniel Alpay, Palle Jorgensen
{"title":"Transfer operators and conditional expectations: the non-commutative case, the case of mu-Brownian motions and white noise space setting","authors":"Daniel Alpay, Palle Jorgensen","doi":"10.1007/s43037-023-00313-x","DOIUrl":"https://doi.org/10.1007/s43037-023-00313-x","url":null,"abstract":"<p>Our focus is the operators of multivariable stochastic calculus, i.e., systems of transfer operators, covariance operators, conditional expectations, stochastic integrals, and the counterpart infinite-dimensional stochastic derivatives. In this paper, we present a new operator algebraic framework which serves to unify the analysis and the interrelations for the operators in question. Our approach uses Rokhlin decompositions, and it applies to both general classes of Gaussian processes, and white noise probability space, in commutative probability, as well as to the analogous operators in the framework of quantum (non-commutative) probability.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"12 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503627","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}
引用次数: 0
Universal composition operators on weighted Dirichlet spaces 加权Dirichlet空间上的全称复合算子
IF 1.2 2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-11-16 DOI: 10.1007/s43037-023-00308-8
Kaikai Han, Yanyan Tang
{"title":"Universal composition operators on weighted Dirichlet spaces","authors":"Kaikai Han, Yanyan Tang","doi":"10.1007/s43037-023-00308-8","DOIUrl":"https://doi.org/10.1007/s43037-023-00308-8","url":null,"abstract":"<p>It is known that the invariant subspace problem for Hilbert spaces is equivalent to the statement that all minimal non-trivial invariant subspaces for a universal operator are one dimensional. In this paper, we first give a characterization of the boundedness of composition operators on weighted Dirichlet spaces <span>({mathcal {D}}_{alpha }(Pi ^{+}))</span> over the upper half-plane <span>(Pi ^{+})</span> using generalized Nevanlinna counting functions, where <span>(alpha &gt;-1.)</span> As an application, we discuss the boundedness of composition operators on <span>({mathcal {D}}_{alpha }(Pi ^{+}))</span> induced by linear fractional self-maps of <span>(Pi ^{+}.)</span> Second, we characterize composition operators and their adjoints induced by affine self-maps of <span>(Pi ^{+})</span> that have universal translates on <span>({mathcal {D}}_{alpha }(Pi ^{+}).)</span> Moreover, we investigate which composition operators and their adjoints induced by hyperbolic non-automorphism self-maps of the open unit disk <span>({mathbb {D}})</span> have universal translates on weighted Dirichlet spaces <span>({mathcal {D}}_{alpha }({mathbb {D}}))</span> for <span>(alpha &gt;-1.)</span> Finally, we consider the minimal invariant subspaces of the composition operators that have universal translates.</p>","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"12 2","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138503626","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}
引用次数: 0
Phase retrieval from intensity difference of linear canonical transform 基于线性正则变换强度差的相位恢复
2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-11-02 DOI: 10.1007/s43037-023-00307-9
Youfa Li, Guangde Wu, Yanfen Huang, Ganji Huang
{"title":"Phase retrieval from intensity difference of linear canonical transform","authors":"Youfa Li, Guangde Wu, Yanfen Huang, Ganji Huang","doi":"10.1007/s43037-023-00307-9","DOIUrl":"https://doi.org/10.1007/s43037-023-00307-9","url":null,"abstract":"","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"37 11","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135934428","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}
引用次数: 0
Orthogonalization in Clifford Hilbert modules and applications Clifford Hilbert模块和应用中的正交化
2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-10-31 DOI: 10.1007/s43037-023-00312-y
Jinxun Wang, Tao Qian
{"title":"Orthogonalization in Clifford Hilbert modules and applications","authors":"Jinxun Wang, Tao Qian","doi":"10.1007/s43037-023-00312-y","DOIUrl":"https://doi.org/10.1007/s43037-023-00312-y","url":null,"abstract":"","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"67 4-5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135869790","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}
引用次数: 3
Iterative kernel density estimation from noisy-dependent observations 基于噪声相关观测的迭代核密度估计
2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-10-30 DOI: 10.1007/s43037-023-00311-z
Yaxu Li
{"title":"Iterative kernel density estimation from noisy-dependent observations","authors":"Yaxu Li","doi":"10.1007/s43037-023-00311-z","DOIUrl":"https://doi.org/10.1007/s43037-023-00311-z","url":null,"abstract":"","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"90 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136106012","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}
引用次数: 0
Topological aspects of quasi *-algebras with sufficiently many *-representations 具有足够多*-表示的拟*-代数的拓扑方面
2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-10-01 DOI: 10.1007/s43037-023-00309-7
Giorgia Bellomonte, Camillo Trapani
{"title":"Topological aspects of quasi *-algebras with sufficiently many *-representations","authors":"Giorgia Bellomonte, Camillo Trapani","doi":"10.1007/s43037-023-00309-7","DOIUrl":"https://doi.org/10.1007/s43037-023-00309-7","url":null,"abstract":"Abstract Quasi *-algebras possessing a sufficient family $$mathcal {M}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>M</mml:mi> </mml:math> of invariant positive sesquilinear forms carry several topologies related to $$mathcal {M}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>M</mml:mi> </mml:math> which make every *-representation continuous. This leads to define the class of locally convex quasi GA*-algebras whose main feature consists in the fact that the family of their bounded elements, with respect to the family $$mathcal {M}$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>M</mml:mi> </mml:math> , is a dense C*-algebra.","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135606998","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}
引用次数: 0
Mean random attractors of stochastic lattice fractional delay Gray–Scott equations in higher moment product sequence spaces 高矩积序列空间中随机点阵分数阶延迟Gray-Scott方程的平均随机吸引子
2区 数学
Banach Journal of Mathematical Analysis Pub Date : 2023-10-01 DOI: 10.1007/s43037-023-00310-0
Xiaolan Qin, Lianbing She, Renhai Wang
{"title":"Mean random attractors of stochastic lattice fractional delay Gray–Scott equations in higher moment product sequence spaces","authors":"Xiaolan Qin, Lianbing She, Renhai Wang","doi":"10.1007/s43037-023-00310-0","DOIUrl":"https://doi.org/10.1007/s43037-023-00310-0","url":null,"abstract":"","PeriodicalId":55400,"journal":{"name":"Banach Journal of Mathematical Analysis","volume":"204 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135656226","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}
引用次数: 0
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