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Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay 具有状态延迟的二阶中性演化方程温和解的可控性
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-10 DOI: 10.1007/s11785-024-01524-2
Chahrazed Boudefla, Fatiha Sahraoui, Selma Baghli-Bendimerad
{"title":"Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay","authors":"Chahrazed Boudefla, Fatiha Sahraoui, Selma Baghli-Bendimerad","doi":"10.1007/s11785-024-01524-2","DOIUrl":"https://doi.org/10.1007/s11785-024-01524-2","url":null,"abstract":"<p>The objective of our research is to demonstrate the controllability of mild solutions for a specific class of second-order neutral functional evolution equations that involve state-dependent delay. To achieve this, we rely on Avramescu’s nonlinear alternative theorem and leverage cosine function theory.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"298 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140593637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
$$Llog L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space p-Adic 向量空间上分式积分算子的换元数的 $$Llog L$$ 型估计值
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-09 DOI: 10.1007/s11785-024-01514-4
YunPeng Chang, LiangJuan Yu, LinQi Sun, HuangZhi Xia
{"title":"$$Llog L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space","authors":"YunPeng Chang, LiangJuan Yu, LinQi Sun, HuangZhi Xia","doi":"10.1007/s11785-024-01514-4","DOIUrl":"https://doi.org/10.1007/s11785-024-01514-4","url":null,"abstract":"<p>In this paper, the main aim is to prove the weak type <span>(L log L)</span> estimates for commutators of fractional integral operators and the higher order in the context of the <i>p</i>-adic version of Lebesgue spaces, where the symbols of the commutators belong to the <i>p</i>-adic version of <span>({text {BMO}})</span> space. In addition, we also establish the estimates of the sharp function on the <i>p</i>-adic vector space.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"155 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140603309","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels 希尔伯特变换、内万林纳类和托普利兹核
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-07 DOI: 10.1007/s11785-024-01521-5
Arun K. Bhardwaj, Javad Mashreghi, R. K. Srivastava
{"title":"Hilbert Transform, Nevanlinna Class and Toeplitz Kernels","authors":"Arun K. Bhardwaj, Javad Mashreghi, R. K. Srivastava","doi":"10.1007/s11785-024-01521-5","DOIUrl":"https://doi.org/10.1007/s11785-024-01521-5","url":null,"abstract":"<p>In this article we obtain an explicit formula for the Hilbert transform of <span>(log |f|,)</span> for the function <i>f</i> in Nevanlinna class having continuous extension to the real line. This family is the largest possible for which such a formula for the Hilbert transform of <span>(log |f|,)</span> can be obtained. The formula is very general and implies several previously known results.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"100 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140593470","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
b-AM-Dunford–Pettis Operators on Banach lattices 巴拿赫网格上的 b-AM-Dunford-Pettis 算子
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-06 DOI: 10.1007/s11785-024-01523-3
Hamadi Baklouti, Mohamed Hajji, Radhouene Moulahi
{"title":"b-AM-Dunford–Pettis Operators on Banach lattices","authors":"Hamadi Baklouti, Mohamed Hajji, Radhouene Moulahi","doi":"10.1007/s11785-024-01523-3","DOIUrl":"https://doi.org/10.1007/s11785-024-01523-3","url":null,"abstract":"<p>In our research work, we introduce a new class of operators that we call <i>b</i>-<i>AM-Dunford–Pettis</i> operators. Properties of <i>b</i>-AM-Dunford–Pettis operators, the relationship between the <i>b</i>-AM-Dunford–Pettis operators and various classes of operators are investigated. On the other side, our techniques and results will be related to the lattice structure of the <i>b</i>-AM-Dunford–Pettis operators. For instance, it will be proved that under certain conditions, the <i>b</i>-AM-Dunford–Pettis opertors verify the domination properties.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570508","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
C*-Algebras Generated by Radial Toeplitz Operators on Polyanalytic Weighted Bergman Spaces 多解析加权伯格曼空间上径向托普利兹算子生成的 C* 矩阵
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-05 DOI: 10.1007/s11785-024-01509-1
Roberto Moisés Barrera-Castelán, Egor A. Maximenko, Gerardo Ramos-Vazquez
{"title":"C*-Algebras Generated by Radial Toeplitz Operators on Polyanalytic Weighted Bergman Spaces","authors":"Roberto Moisés Barrera-Castelán, Egor A. Maximenko, Gerardo Ramos-Vazquez","doi":"10.1007/s11785-024-01509-1","DOIUrl":"https://doi.org/10.1007/s11785-024-01509-1","url":null,"abstract":"<p>In a previous paper (Barrera-Castelán et al. in Bol Soc Mat Mex 27:43, 2021. https://doi.org/10.1007/s40590-021-00348-w), using disk polynomials as an orthonormal basis in the <i>n</i>-analytic weighted Bergman space, we showed that for every bounded radial generating symbol <i>a</i>, the associated Toeplitz operator, acting in this space, can be identified with a matrix sequence <span>(gamma (a))</span>, where the entries of the matrices are certain integrals involving <i>a</i> and Jacobi polynomials. In this paper, we suppose that the generating symbols <i>a</i> have finite limits on the boundary and prove that the C*-algebra generated by the corresponding matrix sequences <span>(gamma (a))</span> is the C*-algebra of all matrix sequences having scalar limits at infinity. We use Kaplansky’s noncommutative analog of the Stone–Weierstrass theorem and some ideas from several papers by Loaiza, Lozano, Ramírez-Ortega, Ramírez-Mora, and Sánchez-Nungaray. We also prove that for <span>(nge 2)</span>, the closure of the set of matrix sequences <span>(gamma (a))</span> is not equal to the generated C*-algebra.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"58 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570598","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Blaschke Products and Convolutions with a Slanted Generalized Half-Plane Harmonic Mapping 带有倾斜广义半平面谐波映射的布拉什克积和卷积
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-03 DOI: 10.1007/s11785-024-01508-2
Stacey Muir
{"title":"Blaschke Products and Convolutions with a Slanted Generalized Half-Plane Harmonic Mapping","authors":"Stacey Muir","doi":"10.1007/s11785-024-01508-2","DOIUrl":"https://doi.org/10.1007/s11785-024-01508-2","url":null,"abstract":"<p>It is known that if the convolution of two suitably normalized planar harmonic mappings from certain families of mappings, such as those mapping into a half-plane or a strip, is locally univalent, the convolution is univalent and convex in one direction. After extending this to convolutions of mappings into a slanted half-plane with those into a slanted asymmetric strip, we prove properties for the dilatation of the convolution of a mapping from a family of slanted generalized right half-plane mappings with mappings into a slanted half-plane or a slanted asymmetric strip with a finite Blaschke product dilatation. The properties lay the foundation for a direct application of polynomial zero distribution techniques in the determination of local univalence of such convolutions. We conclude by producing a family of univalent convolutions convex in one direction between a slanted generalized right half-plane mapping and a mapping into a half-plane with a two-factor Blaschke product dilatation.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"206 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570565","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$mathbb {N}_0^{k}$$ $$mathbb {N}_0^{k}$$ 上积系统等距表示的不变子空间的表征
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-03 DOI: 10.1007/s11785-024-01520-6
Dimple Saini, Harsh Trivedi, Shankar Veerabathiran
{"title":"A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$mathbb {N}_0^{k}$$","authors":"Dimple Saini, Harsh Trivedi, Shankar Veerabathiran","doi":"10.1007/s11785-024-01520-6","DOIUrl":"https://doi.org/10.1007/s11785-024-01520-6","url":null,"abstract":"<p>Using the Wold–von Neumann decomposition for the isometric covariant representations due to Muhly and Solel, we prove an explicit representation of the commutant of a doubly commuting pure isometric representation of the product system over <span>(mathbb {N}_0^{k}.)</span> As an application we study a complete characterization of invariant subspaces for a doubly commuting pure isometric representation of the product system. This provides us a complete set of isomorphic invariants. Finally, we classify a large class of an isometric covariant representations of the product system.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"10 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570416","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Submultiplicativity of Matrix Norms Induced by Random Vectors 论随机向量诱导的矩阵规范的亚多重性
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-04-02 DOI: 10.1007/s11785-024-01518-0
Ludovick Bouthat
{"title":"On the Submultiplicativity of Matrix Norms Induced by Random Vectors","authors":"Ludovick Bouthat","doi":"10.1007/s11785-024-01518-0","DOIUrl":"https://doi.org/10.1007/s11785-024-01518-0","url":null,"abstract":"<p>In a recent article, Chávez, Garcia and Hurley introduced a new family of norms <span>(Vert cdot Vert _{{textbf {X}},d})</span> on the space of <span>(n times n)</span> complex matrices which are induced by random vectors <span>({textbf {X}})</span> having finite <i>d</i>-moments. Therein, the authors asked under which conditions the norms induced by a scalar multiple of <span>({textbf {X}})</span> are submultiplicative. In this paper, this question is completely answered by proving that this is always the case, as long as the entries of <span>({textbf {X}})</span> have finite <i>p</i>-moments for <span>(p=max {2+varepsilon ,d})</span>.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"72 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140570722","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Analytic Function Spaces Associated with the p-Carleson Measure for the Bloch Space 与布洛赫空间 p-Carleson 度量相关的解析函数空间
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-03-29 DOI: 10.1007/s11785-024-01512-6
{"title":"Analytic Function Spaces Associated with the p-Carleson Measure for the Bloch Space","authors":"","doi":"10.1007/s11785-024-01512-6","DOIUrl":"https://doi.org/10.1007/s11785-024-01512-6","url":null,"abstract":"<h3>Abstract</h3> <p>We investigate the <em>p</em>-Carleson measure for the Bloch space <span> <span>({mathcal {B}})</span> </span> and introduce a holomorphic function space <span> <span>( W_{mathcal {B}}^{p,alpha })</span> </span> associated with this measure. An integral operator which preserves the <em>p</em>-Carleson measure for <span> <span>({mathcal {B}})</span> </span> is established. As applications, we give a generalized Jones’ formula for <span> <span>( W_{mathcal {B}}^{p,alpha })</span> </span>, characterize the bounded small Hankel operator <span> <span>(h_{s,f})</span> </span> from <span> <span>({mathcal {B}})</span> </span> to the Bergman space <span> <span>(A_alpha ^p)</span> </span>, and give an atomic decomposition of <span> <span>( W_{mathcal {B}}^{p,alpha })</span> </span>.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"249 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140323712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Annihilators in the Bidual of the Generalized Group Algebra of a Discrete Group 离散群广义群代数双元中的湮没器
IF 0.8 4区 数学
Complex Analysis and Operator Theory Pub Date : 2024-03-27 DOI: 10.1007/s11785-024-01506-4
Lav Kumar Singh
{"title":"Annihilators in the Bidual of the Generalized Group Algebra of a Discrete Group","authors":"Lav Kumar Singh","doi":"10.1007/s11785-024-01506-4","DOIUrl":"https://doi.org/10.1007/s11785-024-01506-4","url":null,"abstract":"<p>In this short note, the second dual of generalized group algebra <span>((ell ^1(G,mathcal {A}),*))</span> equipped with both Arens product is investigated, where <i>G</i> is any discrete group and <span>(mathcal {A})</span> is a Banach algebra containing a complemented algebraic copy of <span>((ell ^1(mathbb N),bullet ))</span>. We give an explicit family of annihilators(w.r.t both the Arens product) in the algebra <span>(ell ^1(G,mathcal {A})^{**})</span>, arising from non-principal ultrafilters on <span>({mathbb {N}})</span> and which are not in the toplogical center. As a consequence, we also deduce the fact that <span>(ell ^1(G,mathcal {A}))</span> is not Strongly Arens irregular.</p>","PeriodicalId":50654,"journal":{"name":"Complex Analysis and Operator Theory","volume":"12 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140311262","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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