{"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}
. 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 } .
{"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}
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
{"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}
{"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}
{"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}
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
{"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}
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 $t(n^2
我们证明Möbius函数与沿Piatetski-Shapiro数取的Thue-Morse序列$t(n)$正交，对于任意$1 lt c lt 2$。之前，这个性质是为沿平方$t(n^2)的子序列建立的
{"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}
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
{"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}
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