发布求助
文献互助 智能选刊 最新文献

Analysis Mathematica最新文献

筛选
英文 中文
On the distribution of zeros of analytic functions in angles in (mathbf{C} backslash { {0}} ) 论 $$mathbf{C} 中角度解析函数零点的分布$$
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-05-28 DOI: 10.1007/s10476-024-00016-x
A. Fernández Árias
{"title":"On the distribution of zeros of analytic functions in angles in (mathbf{C} backslash { {0}} )","authors":"A. Fernández Árias","doi":"10.1007/s10476-024-00016-x","DOIUrl":"10.1007/s10476-024-00016-x","url":null,"abstract":"<div><p>In this article some results on the value distribution theory of analytic\u0000functions defined in angles of <span>(mathbb{C})</span>, due mainly to B. Ja. Levin and A. Pfluger,\u0000will be extended to the more general situation where the functions are defined in\u0000angles of <span>(mathbb{C}backslash{ 0})</span>. More precisely, angles <span>(S ( theta_{1},theta_{2}) )</span> with vertex at the origin will be\u0000considered and where a singularity at zero is allowed. An special class of these\u0000functions are those of completely regular growth for which it is proved a basic result\u0000which yields an expression of the density of its zeros in terms of the indicator\u0000function.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"463 - 479"},"PeriodicalIF":0.6,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10476-024-00016-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141172522","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
Hyperinvariant subspaces for operators intertwined with weighted shift operators 与加权移位算子交织的算子的超不变子空间
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-05-23 DOI: 10.1007/s10476-024-00023-y
Z. Dali, A. Segres
{"title":"Hyperinvariant subspaces for operators intertwined with weighted shift operators","authors":"Z. Dali,&nbsp;A. Segres","doi":"10.1007/s10476-024-00023-y","DOIUrl":"10.1007/s10476-024-00023-y","url":null,"abstract":"<div><p>Suppose that <span>(T)</span> is an absolutely continuous polynomially bounded operator, <span>(S_{omega})</span> is a bilateral weighted shift, there exists a <span>(phiin mathbb{H}^{infty})</span> such that <span>(ker phi(S_{omega}^{*})neq {0})</span> and \u0000 a nonzero operator <span>(X)</span> such that <span>(S^{(infty)}_{omega}X=XT)</span>, where <span>(S^{(infty)}_{omega})</span> is the infinite countable orthogonal sum of copies of <span>(S_{omega})</span>. We prove that <span>(T)</span> has nontrivial hyperinvariant subspaces, that are the closures of <span>(text{Ran} psi(T))</span> for some <span>(psi in mathbb{H}^{infty})</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"367 - 375"},"PeriodicalIF":0.6,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141102428","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 decomposition theorem for unitary group representations on Kaplansky–Hilbert modules and the Furstenberg–Zimmer structure theorem 卡普兰斯基-希尔伯特模块上单元群表示的分解定理和弗斯滕贝格-齐美尔结构定理
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-05-23 DOI: 10.1007/s10476-024-00020-1
N. Edeko, M. Haase, H. Kreidler
{"title":"A decomposition theorem for unitary group representations on Kaplansky–Hilbert modules and the Furstenberg–Zimmer structure theorem","authors":"N. Edeko,&nbsp;M. Haase,&nbsp;H. Kreidler","doi":"10.1007/s10476-024-00020-1","DOIUrl":"10.1007/s10476-024-00020-1","url":null,"abstract":"<div><p>In this paper, a decomposition theorem for (covariant) unitary\u0000group representations on Kaplansky–Hilbert modules over Stone algebras is established,\u0000which generalizes the well-known Hilbert space case (where it coincides\u0000with the decomposition of Jacobs, deLeeuw and Glicksberg).</p><p>The proof rests heavily on the operator theory on Kaplansky–Hilbert modules,\u0000in particular the spectral theorem for Hilbert–Schmidt homomorphisms on\u0000such modules.</p><p>As an application, a generalization of the celebrated Furstenberg–Zimmer\u0000structure theorem to the case of measure-preserving actions of arbitrary groups\u0000on arbitrary probability spaces is established.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"377 - 454"},"PeriodicalIF":0.6,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141106738","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
Approximation in modified Zorko spaces 修正的佐科空间中的逼近
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-05-23 DOI: 10.1007/s10476-024-00025-w
D. Hasanah, H. Gunawan
{"title":"Approximation in modified Zorko spaces","authors":"D. Hasanah,&nbsp;H. Gunawan","doi":"10.1007/s10476-024-00025-w","DOIUrl":"10.1007/s10476-024-00025-w","url":null,"abstract":"<div><p>The set of smooth functions is not dense in Morrey spaces. To address the density issue in Morrey spaces, Zorko spaces are defined by utilizing the difference of a function of first order. In this paper, we propose a subspace of Morrey spaces which is defined using the difference of a function of second order. Approximation properties in the new subspace are investigated and the relation with Zorko spaces is studied via properties of smoothness spaces.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"553 - 561"},"PeriodicalIF":0.6,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141107345","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
Wavelet series expansion in Hardy spaces with approximate duals 具有近似对偶的哈代空间中的小波级数展开
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-05-13 DOI: 10.1007/s10476-024-00022-z
Y. Hur, H. Lim
{"title":"Wavelet series expansion in Hardy spaces with approximate duals","authors":"Y. Hur,&nbsp;H. Lim","doi":"10.1007/s10476-024-00022-z","DOIUrl":"10.1007/s10476-024-00022-z","url":null,"abstract":"<div><p>In this paper, we provide sufficient conditions for the functions \u0000<span>( psi )</span> and <span>( phi )</span> to be the approximate duals in the Hardy space <span>(H^p(mathbb{R}))</span> for all <span>( 0&lt;ple 1 )</span>.\u0000Based on these conditions, we obtain the wavelet series expansion in the Hardy\u0000space <span>(H^p(mathbb{R}))</span> with the approximate duals. The important properties of our approach\u0000include the following: (i) our results work for any <span>( 0&lt;p leq 1 )</span>; (ii) we do not\u0000assume that the functions <span>( psi )</span> and <span>( phi )</span> are exact duals; (iii) we provide a tractable\u0000bound for the operator norm of the associated wavelet frame operator so that it\u0000is possible to check the suitability of the functions <span>( psi )</span> and <span>( phi )</span>.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"563 - 595"},"PeriodicalIF":0.6,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140941945","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
Composition operators on variable exponent Lebesgue spaces 可变指数勒贝格空间上的合成算子
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-04-30 DOI: 10.1007/s10476-024-00015-y
D. S. Bajaj, G. Datt
{"title":"Composition operators on variable exponent Lebesgue spaces","authors":"D. S. Bajaj,&nbsp;G. Datt","doi":"10.1007/s10476-024-00015-y","DOIUrl":"10.1007/s10476-024-00015-y","url":null,"abstract":"<div><p>We study composition operators between variable exponent\u0000Lebesgue spaces and characterize boundedness and compactness of the composition operators on a variable exponent Lebesgue space. We also derive a sufficient condition for composition operator to have a closed range and explain some\u0000properties which these operators share with the case of Lebesgue spaces.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"345 - 366"},"PeriodicalIF":0.6,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140836968","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
m-pseudoconcavity and compactness 米伪腔和紧凑性
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-04-30 DOI: 10.1007/s10476-024-00017-w
O. Günyüz
{"title":"m-pseudoconcavity and compactness","authors":"O. Günyüz","doi":"10.1007/s10476-024-00017-w","DOIUrl":"10.1007/s10476-024-00017-w","url":null,"abstract":"<div><p>The core of a compact set in a general complex manifold has been\u0000defined by Shcherbina very recently to study the existence of strictly plurisubharmonic functions on compact sets. In this paper, using <i>m</i>-subharmonic functions\u0000on compact subsets of a non-compact Kähler manifold, we define the set <i>m</i>-core\u0000of a compact set and investigate the structure of it.</p><p>\u0000We will have the decomposition of the m-minimal kernel of a weakly\u0000<i>m</i>-complete manifold and show that it can be fully decomposed into compact\u0000<i>m</i>-pseudoconcave subsets via certain results obtained in the author’s very recent\u0000papers to have the disintegration of the set <i>m</i>-core of the entire Kähler manifold\u0000(or of a domain in the manifold) and to study the characterization of so-called\u0000<i>m</i>-Stein manifolds.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"537 - 551"},"PeriodicalIF":0.6,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140836959","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
On functions of bounded mean oscillation with bounded negative part 关于具有有界负部分的有界平均振荡函数
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-04-30 DOI: 10.1007/s10476-024-00018-9
H. Zhao, D. Wang
{"title":"On functions of bounded mean oscillation with bounded negative part","authors":"H. Zhao,&nbsp;D. Wang","doi":"10.1007/s10476-024-00018-9","DOIUrl":"10.1007/s10476-024-00018-9","url":null,"abstract":"<div><p>Let <span>(b)</span> be a locally integrable function and <span>(mathfrak{M})</span> be the bilinear maximal function\u0000</p><div><div><span>$$mathfrak{M}(f,g)(x)=sup_{Qni x}frac{1}{|Q|}int_{Q}|f(y)g(2x-y)|dy.$$</span></div></div><p>\u0000In this paper, characterization of the BMO function in terms of commutator <span>(mathfrak{M}^{(1)}_{b})</span> is established. Also, we obtain the necessary and sufficient conditions for the boundedness of the commutator <span>([b, mathfrak{M}]_{1})</span>. Moreover, some new characterizations of Lipschitz and non-negative Lipschitz functions are obtained.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 2","pages":"717 - 730"},"PeriodicalIF":0.6,"publicationDate":"2024-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140837125","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
Trigonometric series and the permutation sign convergence condition 三角级数和包络符号收敛条件
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-04-08 DOI: 10.1007/s10476-024-00012-1
G. Chelidze, S. Chobanyan, G. Giorgobiani, V. Tarieladze
{"title":"Trigonometric series and the permutation sign convergence condition","authors":"G. Chelidze,&nbsp;S. Chobanyan,&nbsp;G. Giorgobiani,&nbsp;V. Tarieladze","doi":"10.1007/s10476-024-00012-1","DOIUrl":"10.1007/s10476-024-00012-1","url":null,"abstract":"<div><p>We prove that a uniformly convergent trigonometric series may not satisfy the permutation sign convergence condition, hence it may not satisfy the Rademacher condition as well.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 1","pages":"101 - 110"},"PeriodicalIF":0.6,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587462","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
Observations on some classes of operators on C(K,X) 关于 C(K,X) 上某些类算子的观察结果
IF 0.6 3区 数学
Analysis Mathematica Pub Date : 2024-04-02 DOI: 10.1007/s10476-024-00009-w
I. Ghenciu, R. Popescu
{"title":"Observations on some classes of operators on C(K,X)","authors":"I. Ghenciu,&nbsp;R. Popescu","doi":"10.1007/s10476-024-00009-w","DOIUrl":"10.1007/s10476-024-00009-w","url":null,"abstract":"<div><p>Suppose <i>X</i> and <i>Y</i> are Banach spaces, <i>K</i> is a compact Hausdorff space, <span>(Sigma)</span> is the <span>(sigma)</span>-algebra of Borel subsets of <i>K</i>, <span>(C(K,X))</span> is the Banach space of all continuous <i>X</i>-valued functions (with the supremum norm), and <span>(T colon C(K,X)to Y)</span> is a strongly bounded operator with representing measure <span>(m colon Sigma to L(X,Y))</span>. \u0000We show that if <span>(hat{T} colon B(K, X) to Y)</span> is its extension, then <i>T</i> is weak Dunford--Pettis (resp.weak<sup>*</sup> Dunford--Pettis, weak <i>p</i>-convergent, weak<sup>*</sup> <i>p</i>-convergent) if and only if <span>(hat{T})</span> has the same property.</p><p>We prove that if <span>(T colon C(K,X)to Y)</span> is strongly bounded limited completely continuous (resp. limited <i>p</i>-convergent), then <span>(m(A) colon Xto Y)</span> is limited completely continuous (resp. limited <i>p</i>-convergent) for each <span>(Ain Sigma)</span>. We also prove that the above implications become equivalences when <i>K</i> is a dispersed compact Hausdorff space.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"50 1","pages":"127 - 148"},"PeriodicalIF":0.6,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140587463","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信