Weak type estimates of Marcinkiewicz integrals on the weighted Hardy and Herz-type Hardy spaces
Classical Analysis and ODEs
2012-06-28 v2
Abstract
The Marcinkiewicz integral is essentially a Littlewood-Paley -function, which plays a important role in harmonic analysis. In this article, by using the atomic decomposition theory of weighted Hardy spaces and homogeneous weighted Herz-type Hardy spaces, we will obtain some weighted weak type estimates for Marcinkiewicz integrals on these spaces.
Keywords
Cite
@article{arxiv.1012.0654,
title = {Weak type estimates of Marcinkiewicz integrals on the weighted Hardy and Herz-type Hardy spaces},
author = {Hua Wang},
journal= {arXiv preprint arXiv:1012.0654},
year = {2012}
}
Comments
14 pages