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Annals of Functional Analysis最新文献

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On the approximation properties of generalized Gamma-type operators in several function spaces 几种函数空间中广义伽玛型算子的近似性质
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-07-19 DOI: 10.1007/s43034-025-00453-1
Mirella Cappelletti Montano, Vita Leonessa, Arianna Travaglini
{"title":"On the approximation properties of generalized Gamma-type operators in several function spaces","authors":"Mirella Cappelletti Montano,&nbsp;Vita Leonessa,&nbsp;Arianna Travaglini","doi":"10.1007/s43034-025-00453-1","DOIUrl":"10.1007/s43034-025-00453-1","url":null,"abstract":"<div><p>In the present paper, we study a class of integral operators of probabilistic type, which are constructed by means of the generalized Gamma distribution. In particular, we discuss their approximation properties in weighted continuous function spaces and <span>(L^p)</span>-spaces, providing some estimates of the rate of convergence by means of different moduli of smoothness as well as an asymptotic formula. The paper concludes with some illustrative examples. </p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 4","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145167286","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 solutions for a variable-order Schrödinger–Kirchhoff-type double-phase system with new critical growth in (mathbb {R}^n) 具有新临界增长的变阶Schrödinger-Kirchhoff-type双相系统的无穷解 (mathbb {R}^n)
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-07-11 DOI: 10.1007/s43034-025-00438-0
Yizhe Feng, Zhanbing Bai
{"title":"Infinitely solutions for a variable-order Schrödinger–Kirchhoff-type double-phase system with new critical growth in (mathbb {R}^n)","authors":"Yizhe Feng,&nbsp;Zhanbing Bai","doi":"10.1007/s43034-025-00438-0","DOIUrl":"10.1007/s43034-025-00438-0","url":null,"abstract":"<div><p>In this article, we study the multiple solutions of a class of variable-order Schrödinger–Kirchhoff-type double-phase system, the equation has a nonlinear term of the concave–convex nonlinearities with variable exponent and a new type critical term which is better suitable for double-phase problem. Using the concentration-compactness principle and Kajikiya’s symmetric mountain pass theorem, the existence of infinitely many solutions for suitable small parameters <span>(mu)</span> and <span>(nu _i,i=1,2)</span> has been obtained, respectively. This implies that infinite solutions exist when the parameters <span>(mu)</span> and <span>(max { nu _1,nu _2})</span> lie within an <span>(mathbb {L})</span>-shaped region (see Fig. 1). A technique is developed to determine the geometry of energy functionals in such Schrödinger–Kirchhoff-type systems with concave–convex terms and variable exponents.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163943","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
Multiplicative and ternary domains of a completely positive map between Hilbert pro-(C^*)-modules Hilbert pro- (C^*) -模间完全正映射的乘域和三元域
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-07-09 DOI: 10.1007/s43034-025-00449-x
Bhumi Amin, Ramesh Golla
{"title":"Multiplicative and ternary domains of a completely positive map between Hilbert pro-(C^*)-modules","authors":"Bhumi Amin,&nbsp;Ramesh Golla","doi":"10.1007/s43034-025-00449-x","DOIUrl":"10.1007/s43034-025-00449-x","url":null,"abstract":"<div><p>In this paper, we investigate the notions of multiplicative and ternary domains for completely positive (CP) maps between pro-<span>(C^*)</span>-algebras, and establish a Schwarz-like inequality for such maps which are contractive. Along with this, we study the <span>(phi )</span>-module domain and ternary domain for a <span>(phi )</span>-map <span>(Phi )</span>, where <span>(Phi )</span> is a CP-map between two Hilbert pro-<span>(C^*)</span>-modules. Through a detailed construction, we demonstrate that the ternary domain of a <span>(phi )</span>-map <span>(Phi )</span> coincides with the <span>(phi )</span>-module domain of <span>(Phi )</span>. Furthermore, we establish relationships between the multiplicative and ternary domains of a CP-map and the associated Stinespring triple. In addition, we derive connections between the Stinespring-like representation for <span>(phi )</span>-maps and the <span>(phi )</span>-module domain of such maps.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145164047","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 equivalent norm of variable Herz spaces 可变赫兹空间的等价范数
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-07-05 DOI: 10.1007/s43034-025-00450-4
Yoshihiro Sawano, Reza Roohi Seraji
{"title":"An equivalent norm of variable Herz spaces","authors":"Yoshihiro Sawano,&nbsp;Reza Roohi Seraji","doi":"10.1007/s43034-025-00450-4","DOIUrl":"10.1007/s43034-025-00450-4","url":null,"abstract":"<div><p>This note aims to introduce an equivalent norm for variable Herz spaces. While an extrapolation result is already known for these spaces, the equivalent norm proposed in this paper provides an example that extends beyond the scope of the existing extrapolation result</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161862","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 Toeplitz operators on weighted harmonic Bergman spaces induced by doubling weights 权加倍诱导加权调和Bergman空间上的Schatten类Toeplitz算子
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-07-05 DOI: 10.1007/s43034-025-00448-y
Min Dong, Yongjiang Duan, Sawlet Junis
{"title":"Schatten class Toeplitz operators on weighted harmonic Bergman spaces induced by doubling weights","authors":"Min Dong,&nbsp;Yongjiang Duan,&nbsp;Sawlet Junis","doi":"10.1007/s43034-025-00448-y","DOIUrl":"10.1007/s43034-025-00448-y","url":null,"abstract":"<div><p>We characterize the Schatten class Toeplitz operators associated with a positive Borel measure on the weighted harmonic Bergman space <span>(L_{h,omega }^2(mathbb {D}))</span> over the unit disk. Furthermore, we establish the necessary and sufficient condition for the Toeplitz operators on <span>(L_{h,omega }^2(mathbb {D}))</span> belonging to the Schatten <span>(hbar)</span>-class, where <span>(hbar)</span> is defined as a continuous increasing convex function.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145161861","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
Friedrichs systems on an interval 区间上的弗里德里希系统
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-28 DOI: 10.1007/s43034-025-00443-3
M. Erceg, S. K. Soni
{"title":"Friedrichs systems on an interval","authors":"M. Erceg,&nbsp;S. K. Soni","doi":"10.1007/s43034-025-00443-3","DOIUrl":"10.1007/s43034-025-00443-3","url":null,"abstract":"<div><p>There has been significant developments in the classification of boundary conditions of positive symmetric systems, also known as Friedrichs systems, after the introduction of operator theoretic framework. We take a step forward towards applying the abstract theory to the classical framework by studying Friedrichs systems on an interval. Dealing with some difficulties related to the smoothness of eigenvectors, here we present an explicit expression for the dimensions of the kernels of Friedrichs operators only in terms of the values of the coefficients at the end-points of the interval. In particular, this allows for a characterisation of all admissible boundary conditions, i.e. those leading to bijective realisations.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170420","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
Spectral flow and Levinson’s theorem for Schrödinger operators Schrödinger算符的谱流和Levinson定理
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-28 DOI: 10.1007/s43034-025-00418-4
Angus Alexander, Adam Rennie
{"title":"Spectral flow and Levinson’s theorem for Schrödinger operators","authors":"Angus Alexander,&nbsp;Adam Rennie","doi":"10.1007/s43034-025-00418-4","DOIUrl":"10.1007/s43034-025-00418-4","url":null,"abstract":"<div><p>We use spectral flow to present a new proof of Levinson’s theorem for Schrödinger operators on <span>(mathbb {R}^n)</span> with smooth compactly supported potential. Our proof is valid in all dimensions and in the presence of resonances. The statement is expressed in terms of the spectral shift function and the “high energy corrected time delay” following Guillopé and others.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00418-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145170419","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
Towards spectral descriptions of cyclic functions 关于循环函数的谱描述
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-25 DOI: 10.1007/s43034-025-00446-0
Miguel Monsalve-López, Daniel Seco
{"title":"Towards spectral descriptions of cyclic functions","authors":"Miguel Monsalve-López,&nbsp;Daniel Seco","doi":"10.1007/s43034-025-00446-0","DOIUrl":"10.1007/s43034-025-00446-0","url":null,"abstract":"<div><p>We build on a characterization of inner functions <i>f</i> due to Le, in terms of the spectral properties of the operator <span>(V=M_f^*M_f)</span> and study to what extent the cyclicity on weighted Hardy spaces <span>(H^2_omega )</span> of the function <span>(z mapsto a-z)</span> can be similarly inferred from the spectral properties of the corresponding operator <i>V</i>. We describe several properties of the spectra that hold in a large class of spaces and then, we focus on the particular case of Bergman-type spaces, for which we describe completely the spectrum of such operators and find all eigenfunctions.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s43034-025-00446-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145169408","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
Dilations of oblique dual pairs of g-frame sequences 斜对偶g-框架序列的膨胀
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-24 DOI: 10.1007/s43034-025-00445-1
Xiujiao Chi, Pengtong Li, Yangyang Shi
{"title":"Dilations of oblique dual pairs of g-frame sequences","authors":"Xiujiao Chi,&nbsp;Pengtong Li,&nbsp;Yangyang Shi","doi":"10.1007/s43034-025-00445-1","DOIUrl":"10.1007/s43034-025-00445-1","url":null,"abstract":"<div><p>This paper investigates the dilation problem for oblique dual pairs of g-frame sequences in Hilbert spaces. It is demonstrated that any oblique dual pair (Type I dual pair) of g-frame sequences in a Hilbert space can be dilated to an oblique dual pair (Type I dual pair) of g-Riesz sequences in a larger Hilbert space. Furthermore, a characterization is established for a g-frame sequence to possess a Parseval Type II dual through orthogonal dilation. Finally, a condition is provided under which an oblique dual pair of g-frame sequences in a Hilbert space can be obliquely dilated to a dual pair of g-Riesz bases for the same space.</p></div>","PeriodicalId":48858,"journal":{"name":"Annals of Functional Analysis","volume":"16 3","pages":""},"PeriodicalIF":1.0,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168720","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
Normalized solutions for the (L^2)-critical Schrödinger–Poisson system in ({mathbb {R}}^2) 中(L^2)临界Schrödinger-Poisson系统的归一化解 ({mathbb {R}}^2)
IF 1 3区 数学
Annals of Functional Analysis Pub Date : 2025-06-23 DOI: 10.1007/s43034-025-00447-z
Min Liu, Shu Zhang
{"title":"Normalized solutions for the (L^2)-critical Schrödinger–Poisson system in ({mathbb {R}}^2)","authors":"Min Liu,&nbsp;Shu Zhang","doi":"10.1007/s43034-025-00447-z","DOIUrl":"10.1007/s43034-025-00447-z","url":null,"abstract":"<div><p>We study the normalized solutions of the <span>(L^2)</span>-critical Schrödinger–Poisson system with an external potential <span>(V(x)=|x|^2)</span> in <span>({mathbb {R}}^2)</span>, which can be described by the constraint minimization problem. When the magnetic field is attractive, we prove that there is a threshold <span>(a^*in (0,infty ))</span> such that the constraint minimizer exists if and only if the interaction strength <span>(a&lt;a^*)</span>. Moreover, for the repulsive case, there exists a minimizer if <span>(a&lt;a^*)</span>, while there does not exist any minimizer if <span>(a&gt;a^*)</span>. Particularly, after analyzing its limiting behavior, we then obtain the uniqueness of positive minimizers as <span>(anearrow a^*)</span> by overcoming the sign-changing property of the logarithmic convolution and the non-invariance under translations of the harmonic potential.</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":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145168811","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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