Weighted local Hardy spaces with variable exponents
Functional Analysis
2022-06-14 v1
Abstract
This paper defines local weighted Hardy spaces with variable exponent. Local Hardy spaces permit atomic decomposition, which is one of the main themes in this paper. A consequence is that the atomic decomposition is obtained for the functions in the Lebesgue spaces with exponentially decaying exponent. As an application, we obtain the boundedness of singular integral operators, the Littlewood--Paley characterization and wavelet decomposition.
Cite
@article{arxiv.2206.05674,
title = {Weighted local Hardy spaces with variable exponents},
author = {Mitsuo Izuki and Toru Nogayama and Takahiro Noi and Yoshihiro Sawano},
journal= {arXiv preprint arXiv:2206.05674},
year = {2022}
}