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

IF 0.7 3区 数学 Q2 MATHEMATICS
Tapendu Rana, Sumit Kumar Rano
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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
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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.
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