Anisotropic grand Herz type spaces with variable exponents and their applications
Functional Analysis
2024-07-24 v1 Classical Analysis and ODEs
Abstract
In this paper, we introduce some anisotropic grand Herz type spaces with variable exponents, including anisotropic grand Herz spaces, anisotropic grand Herz-Morrey spaces and anisotropic grand Herz-type Hardy spaces with variable exponents. We obtain some properties and characterizations of these spaces in terms of some decompositions. Using their decompositions, we obtain some boundedness on the anisotropic grand Herz type spaces with variable exponents for some singular integral operators.
Keywords
Cite
@article{arxiv.2407.16360,
title = {Anisotropic grand Herz type spaces with variable exponents and their applications},
author = {Hongbin Wang and Zongguang Liu},
journal= {arXiv preprint arXiv:2407.16360},
year = {2024}
}