$L^p$-boundedness of pseudo-differential operators on homogeneous trees

IF 0.7 3区 数学 Q2 MATHEMATICS
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":null,"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":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Studia Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/sm220816-27-3","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1

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 } .
齐次树上伪微分算子的L^p$有界性
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Studia Mathematica
Studia Mathematica 数学-数学
CiteScore
1.50
自引率
12.50%
发文量
72
审稿时长
5 months
期刊介绍: The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.
×
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
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
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