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Heisenberg群上的球面极大算子:受限膨胀集

IF 0.7 3区 数学 Q2 MATHEMATICS
Studia Mathematica Pub Date : 2023-01-01 DOI:10.4064/sm220804-22-6
Joris Roos, Andreas Seeger, Rajula Srivastava
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引用次数: 2

摘要

考虑具有余维2关联关系的Heisenberg群上的球面均值，以及相关的球面局部极大函数M_E f$，其中膨胀限制在一个集合$E$中。我们证明了这些极大算子的L^p到L^q$估计
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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Spherical maximal operators on Heisenberg groups: Restricted dilation sets
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 $L^p\to L^q$ estimates for these maximal operators
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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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