Hardy–Littlewood maximal function on Locally compact Abelian groups

期刊论文
发表日期：

2024年2月29日

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Ekaterine Kapanadze,
Tengiz Kopaliani,
Ani Ozbetelashvili

摘要

In this paper we investigate a boundedness of the Hardy-Littlewood maximal operator M in the variable Lebesgue spaces in the context locally compact abelian group. We show that the local Muckenhoupt condition implies the local boundedness of M.