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On the orbit of (A)-hyponormal operators on Hilbert spaces Hilbert空间上(A) -次正规算子的轨道
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-06-19 DOI: 10.1007/s10476-026-00162-4
A. Benali, N. Jeridi, A. Saddi
{"title":"On the orbit of (A)-hyponormal operators on Hilbert spaces","authors":"A. Benali,&nbsp;N. Jeridi,&nbsp;A. Saddi","doi":"10.1007/s10476-026-00162-4","DOIUrl":"10.1007/s10476-026-00162-4","url":null,"abstract":"<div><p>In this paper, we obtain more results on <span>(A)</span>-hyponormal operators. We show that the results for the supercyclicity of hyponormal operators described in \u0000[33] remain true for <span>(A)</span>-hyponormal operators. Inspired by the work \u0000[44], an operator <span>( T in mathcal{L}_{A}(mathcal{H}))</span> is in the class <span>((sqrt[n]{mathbf{A.H}}))</span> if <span>(T^n)</span> is <span>(A)</span>-hyponormal for some positive integer <span>(ngeq2)</span>. We show that an operator <span>(T in (sqrt[n]{mathbf{A.H}}))</span> is never supercyclic, moreover if it satisfies the translation invariant property then it is <span>(A)</span>-hyponormal. In particular, if <span>( T in mathcal{L}_{A}(mathcal{H}))</span> is an invertible operator then <span>(T)</span> and its inverse <span>(T^{-1})</span> have a common nontrivial invariant closed set. We also give a condition under which an <span>(A)</span> operators has a nontrivial hyperinvariant subspace.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"421 - 440"},"PeriodicalIF":0.5,"publicationDate":"2026-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782642","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
Solutions of delay differential-difference equations in (mathbb{C}^n) 中的时滞微分-差分方程的解 (mathbb{C}^n)
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-06-19 DOI: 10.1007/s10476-026-00160-6
H. Y. Xu, S. Mandal, M. B. Ahamed
{"title":"Solutions of delay differential-difference equations in (mathbb{C}^n)","authors":"H. Y. Xu,&nbsp;S. Mandal,&nbsp;M. B. Ahamed","doi":"10.1007/s10476-026-00160-6","DOIUrl":"10.1007/s10476-026-00160-6","url":null,"abstract":"<div><p>For meromorphic functions <i>f</i> and <i>g</i> in <span>(mathbb{C}^n)</span>, the functional equation of the form <span>(af^2(z)+2omega f(z)g(z)+bg^2(z)=1)</span> (where <span>(omega^2neq 0,ab)</span> with <span>(a, binmathbb{C})</span>) is called quadratic trinomial equation. In this paper, we investigate the existence and exact forms of solutions of quadratic trinomial partial delay differential-difference equations by utilizing Nevanlinna theory in several complex variables. Our results presented in the paper represent improvements upon some recent findings in [Rocky Mountain J. Math., 54 (2023), 1535–1550], [Mediterr. J. Math., 15 (2018), 1–14], [Anal. Math., 48 (2022), 199–226]. By exhibiting examples, we endorse the validity of conclusions of the main results. In particular, when <span>(omega^2=ab)</span>, we show that infinite order solutions of such equation also exist.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"667 - 695"},"PeriodicalIF":0.5,"publicationDate":"2026-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782760","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
A direct and elementary derivation of the multivariate Faà di Bruno formula 多元facomdi Bruno公式的直接初等推导
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-06-19 DOI: 10.1007/s10476-026-00159-z
C. Boiti, R. Manfrin
{"title":"A direct and elementary derivation of the multivariate Faà di Bruno formula","authors":"C. Boiti,&nbsp;R. Manfrin","doi":"10.1007/s10476-026-00159-z","DOIUrl":"10.1007/s10476-026-00159-z","url":null,"abstract":"<div><p>By applying Taylor expansion and the Leibniz rule for partial derivatives, we provide a straightforward deduction of the \u0000multivariate Faà di Bruno formula, yielding a concise and simple expression for the derivatives of the composite function \u0000<span>(gcirc f colon mathbb{R}^ntomathbb{R})</span>, \u0000with <span>(f colon mathbb{R}^ntomathbb{R}^m)</span> and \u0000<span>(g colon mathbb{R}^mtomathbb{R})</span>. \u0000Our formulation extends the original Faà di Bruno formula to the multidimensional case in a natural way.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"467 - 473"},"PeriodicalIF":0.5,"publicationDate":"2026-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-026-00159-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782657","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
Tumura-Clunie differential equations with applications to linear ODEs Tumura-Clunie微分方程及其在线性ode中的应用
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-06-19 DOI: 10.1007/s10476-026-00165-1
M. A. Zemirni, Z. Latreuch
{"title":"Tumura-Clunie differential equations with applications to linear ODEs","authors":"M. A. Zemirni,&nbsp;Z. Latreuch","doi":"10.1007/s10476-026-00165-1","DOIUrl":"10.1007/s10476-026-00165-1","url":null,"abstract":"<div><p>In this paper, we study nonlinear differential equations of Tumura-Clunie type, <span>( f^n + P(z, f) = h, )</span> where <span>(n geq 2)</span> is an integer, <span>( P(z, f))</span> is a differential polynomial in <span>( f )</span> of degree <span>( gamma_P leq n - 1 )</span> with small functions as coefficients, and <span>( h )</span> is a meromorphic function. Assuming that <span>( h )</span> satisfies a linear differential equation of order <span>( ple n )</span> with rational coefficients, we establish a result that classifies the meromorphic solutions <span>( f )</span> into two cases based on the distribution of their zeros and poles. This result is then applied to study the zeros and critical points of entire solutions to certain higher-order linear differential equations, thereby extending some known results in the literature.\u0000</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"709 - 723"},"PeriodicalIF":0.5,"publicationDate":"2026-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782643","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
Growth of holomorphic curves with radially distributed slowly moving hyperplanes and uniqueness problem 具有径向分布的慢移动超平面的全纯曲线的生长及其唯一性问题
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-06-19 DOI: 10.1007/s10476-026-00164-2
S. D. Quang
{"title":"Growth of holomorphic curves with radially distributed slowly moving hyperplanes and uniqueness problem","authors":"S. D. Quang","doi":"10.1007/s10476-026-00164-2","DOIUrl":"10.1007/s10476-026-00164-2","url":null,"abstract":"<div><p>By establishing second main theorems for holomorphic curves from angular domains <span>(Omega_{alpha,beta}={alpha&lt;arg z&lt;beta})</span> into the projective space <span>(mathbb{P}^n(mathbb{C}))</span> intersecting families of slowly moving hyperplanes with truncated counting functions, we study the growth of holomorphic curves from <span>(mathbb{C})</span> into <span>(mathbb{P}^n(mathbb{C}))</span> with radially distributed slowly moving hyperplanes. On the other hand, by establishing some second main theorems on <span>( {overline{Omega}}_{alpha,beta})</span> with Tsuji characteristic function, we give some uniqueness theorems for holomorphic curves from <span>({overline{Omega}}_{alpha,beta})</span> into <span>(mathbb{P}^n(mathbb{C}))</span> sharing few slowly moving hyperplanes. </p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"587 - 617"},"PeriodicalIF":0.5,"publicationDate":"2026-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782761","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
Boundary behaviour of the Fefferman–Szegő metric in strictly pseudoconvex domains 严格伪凸域上fefferman - szegov度量的边界行为
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-05-11 DOI: 10.1007/s10476-026-00155-3
Bhatnagar A.
{"title":"Boundary behaviour of the Fefferman–Szegő metric in strictly pseudoconvex domains","authors":"Bhatnagar A.","doi":"10.1007/s10476-026-00155-3","DOIUrl":"10.1007/s10476-026-00155-3","url":null,"abstract":"<div><p>We study the boundary behaviour of the Fefferman–Szegő metric and several associated invariants in a <span>(C^infty)</span>-smoothly bounded strictly pseudoconvex domain.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"441 - 456"},"PeriodicalIF":0.5,"publicationDate":"2026-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148781984","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
Weighted inequalities for iterated Volterra-type operators with kernels 带核迭代volterra型算子的加权不等式
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-05-07 DOI: 10.1007/s10476-026-00158-0
A. Kalybay, A. Temirkhanova
{"title":"Weighted inequalities for iterated Volterra-type operators with kernels","authors":"A. Kalybay,&nbsp;A. Temirkhanova","doi":"10.1007/s10476-026-00158-0","DOIUrl":"10.1007/s10476-026-00158-0","url":null,"abstract":"<div><p>This paper focuses on operators formed by the iteration of two Volterra-type operators with general kernels, \u0000which satisfy conditions significantly weaker than those previously considered. It establishes necessary and sufficient \u0000conditions for the validity of new Hardy-type inequalities involving these iterated operators.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 2","pages":"533 - 553"},"PeriodicalIF":0.5,"publicationDate":"2026-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148782280","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
Bilateral Lerch theta and theta star function and Quadrilateral Lerch zeta and zeta star functions 双边Lerch和星函数以及四边形Lerch和星函数
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-04-02 DOI: 10.1007/s10476-026-00153-5
T. Nakamura
{"title":"Bilateral Lerch theta and theta star function and Quadrilateral Lerch zeta and zeta star functions","authors":"T. Nakamura","doi":"10.1007/s10476-026-00153-5","DOIUrl":"10.1007/s10476-026-00153-5","url":null,"abstract":"<div><p>In the present paper, we construct theta functions with two parameters <span>(a, b in mathbb{R})</span> that satisfy Jacobi's modular relation. \u0000Furthermore, we define zeta functions, also depending on two real parameters <span>(a, b in mathbb{R})</span> and which are derived from these theta functions, which satisfy Riemann's functional equation. To the best of our knowledge, these zeta functions are the first known examples that simultaneously satisfy Riemann's functional equation and involve two independent parameters.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 1","pages":"255 - 276"},"PeriodicalIF":0.5,"publicationDate":"2026-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-026-00153-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147665738","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
The weak type (1, 1) bounds for the (rho)-variation operator associated with the Poisson semigroup 与泊松半群相关的(rho)变分算子的弱类型（1,1）界
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-03-23 DOI: 10.1007/s10476-026-00149-1
J. Wang, H. Li, H. Liu
{"title":"The weak type (1, 1) bounds for the (rho)-variation operator associated with the Poisson semigroup","authors":"J. Wang,&nbsp;H. Li,&nbsp;H. Liu","doi":"10.1007/s10476-026-00149-1","DOIUrl":"10.1007/s10476-026-00149-1","url":null,"abstract":"<div><p>We prove that the best constant in the weak type (1, 1) inequality for the <span>(rho)</span>-variation operator associated with the Poisson semigroup grows at most like <span>(O(n^{3/2}))</span>. Moreover, we provide a limit result for the weak type (1, 1) bound.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 1","pages":"403 - 420"},"PeriodicalIF":0.5,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147665619","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
Uniqueness of norm and faithfulness of some product Banach algebras 一些乘积Banach代数范数的唯一性与信度
IF 0.5 3区 数学
Analysis Mathematica Pub Date : 2026-03-23 DOI: 10.1007/s10476-026-00143-7
H. V. Dedania, J. G. Patel
{"title":"Uniqueness of norm and faithfulness of some product Banach algebras","authors":"H. V. Dedania,&nbsp;J. G. Patel","doi":"10.1007/s10476-026-00143-7","DOIUrl":"10.1007/s10476-026-00143-7","url":null,"abstract":"<div><p>We prove that the faithful and the uniqueness of norm properties are stable in different product algebras, such as direct-sum product algebras,\u0000 convolution product algebras, and the module product algebras. Furthermore, we show that these properties are not stable in null product algebras. \u0000 Also, we provide a common sufficient condition, in terms of the algebra norm, for the co-dimension \u0000 of <span>(mathcal{A}^2 = operatorname {span} { ab : a,b in mathcal{A}})</span>\u0000 to be finite in <span>(mathcal{A})</span>\u0000 and <span>(mathcal{A}^{2} = mathcal{A})</span>\u0000(whenever <span>(mathcal{A}^2)</span>\u0000 being dense in <span>(mathcal{A})</span>\u0000, i.e., <span>(overline{mathcal{A}^2} = mathcal{A}))</span>\u0000.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"52 1","pages":"45 - 51"},"PeriodicalIF":0.5,"publicationDate":"2026-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147665675","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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