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A biparameter decomposition of Davis–Garsia type Davis-Garsia型的双参数分解
IF 0.8 3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm211026-7-7
M. Rzeszut, B. Trojan
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引用次数: 0
Embeddings between Lorentz sequence spaces are strictly but not finitely strictly singular 洛伦兹序列空间之间的嵌入是严格但不是有限严格奇异的
IF 0.8 3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm220822-10-1
J. Lang, A. Nekvinda
{"title":"Embeddings between Lorentz sequence spaces are strictly but not finitely strictly singular","authors":"J. Lang, A. Nekvinda","doi":"10.4064/sm220822-10-1","DOIUrl":"https://doi.org/10.4064/sm220822-10-1","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"39 4 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70526685","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
$L^p$-boundedness of pseudo-differential operators on homogeneous trees 齐次树上伪微分算子的L^p$有界性
IF 0.8 3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm220816-27-3
Tapendu Rana, Sumit Kumar Rano
{"title":"$L^p$-boundedness of pseudo-differential operators on homogeneous trees","authors":"Tapendu Rana, Sumit Kumar Rano","doi":"10.4064/sm220816-27-3","DOIUrl":"https://doi.org/10.4064/sm220816-27-3","url":null,"abstract":". The aim of this article is to study the L p -boundedness of pseudo-differen-tial operators on a homogeneous tree X . For p ∈ (1 , 2) , we establish a connection between the L p -boundedness of the pseudo-differential operators on X and that on the group of integers Z . We also prove an analogue of the Calderón–Vaillancourt theorem in the setting of homogeneous trees for p ∈ (1 , ∞ ) { 2 } .","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70527009","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: 1
Extension domains for Hardy spaces Hardy空间的扩展域
3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm220726-30-5
Shahaboddin Shaabani
{"title":"Extension domains for Hardy spaces","authors":"Shahaboddin Shaabani","doi":"10.4064/sm220726-30-5","DOIUrl":"https://doi.org/10.4064/sm220726-30-5","url":null,"abstract":"We show that a proper open subset $Omega subset mathbb R^{n}$ is an extension domain for $H^p$ ($0 lt ple 1$) if and only if it satisfies a certain geometric condition. When $n(1/p-1)in mathbb N$, this condition is equivalent to the global Markov c","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135754854","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
Quasisymmetry and solidity of quasiconformal maps in metric spaces 度量空间中拟共形映射的拟对称性和实体性
IF 0.8 3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm221211-30-5
T. Cheng, Pengjie Jiang, S. Yang
{"title":"Quasisymmetry and solidity of quasiconformal maps in metric spaces","authors":"T. Cheng, Pengjie Jiang, S. Yang","doi":"10.4064/sm221211-30-5","DOIUrl":"https://doi.org/10.4064/sm221211-30-5","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70527656","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
Erratum to “BMO spaces of $sigma $-finite von Neumann algebras and Fourier–Schur multipliers on $mathrm{SU}_q(2)$” (Studia Mathematica 262 (2022), 45–91) “$sigma $-有限冯诺依曼代数和$ mathm {SU}_q(2)$上的傅立叶-舒尔乘子的BMO空间”(数学学报，262 (2022)，45-91)
IF 0.8 3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm230314-26-4
M. Caspers, G. Vos
{"title":"Erratum to “BMO spaces of $sigma $-finite von Neumann algebras and Fourier–Schur multipliers on $mathrm{SU}_q(2)$” (Studia Mathematica 262 (2022), 45–91)","authors":"M. Caspers, G. Vos","doi":"10.4064/sm230314-26-4","DOIUrl":"https://doi.org/10.4064/sm230314-26-4","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70531321","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
Spherical maximal operators on Heisenberg groups: Restricted dilation sets Heisenberg群上的球面极大算子:受限膨胀集
3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm220804-22-6
Joris Roos, Andreas Seeger, Rajula Srivastava
{"title":"Spherical maximal operators on Heisenberg groups: Restricted dilation sets","authors":"Joris Roos, Andreas Seeger, Rajula Srivastava","doi":"10.4064/sm220804-22-6","DOIUrl":"https://doi.org/10.4064/sm220804-22-6","url":null,"abstract":"Consider spherical means on the Heisenberg group with a codimension 2 incidence relation, and associated spherical local maximal functions $M_E f$ where the dilations are restricted to a set $E$. We prove $L^pto L^q$ estimates for these maximal operators","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"68 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135839501","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: 2
Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers Möbius Thue-Morse序列沿Piatetski-Shapiro数的正交性
3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm220818-3-8
Andrei Shubin
{"title":"Möbius orthogonality of the Thue–Morse sequence along Piatetski-Shapiro numbers","authors":"Andrei Shubin","doi":"10.4064/sm220818-3-8","DOIUrl":"https://doi.org/10.4064/sm220818-3-8","url":null,"abstract":"We show that the Möbius function is orthogonal to the Thue–Morse sequence $t(n)$ taken along the Piatetski-Shapiro numbers $lfloor n^crfloor$ for any $1 lt c lt 2$. Previously, this property was established for the subsequence along the squares $t(n^2","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135704392","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 systematic approach for invariants of $C^*$-algebras C^*$-代数不变量的系统方法
3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm230516-22-6
Laurent Cantier
{"title":"A systematic approach for invariants of $C^*$-algebras","authors":"Laurent Cantier","doi":"10.4064/sm230516-22-6","DOIUrl":"https://doi.org/10.4064/sm230516-22-6","url":null,"abstract":"We define a categorical framework in which we build a systematic construction that provides generic invariants for $C^*$-algebras. The benefit is significant as we show that any invariant arising this way automatically enjoys nice properties such as conti","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"174 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135361953","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
Symmetric stable processes on amenable groups 可调群上的对称稳定过程
IF 0.8 3区 数学
Studia Mathematica Pub Date : 2023-01-01 DOI: 10.4064/sm220924-19-2
Nachi Avraham-Re’em
{"title":"Symmetric stable processes on amenable groups","authors":"Nachi Avraham-Re’em","doi":"10.4064/sm220924-19-2","DOIUrl":"https://doi.org/10.4064/sm220924-19-2","url":null,"abstract":"","PeriodicalId":51179,"journal":{"name":"Studia Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70526934","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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