Boundedness of parameterized Marcinkiewicz integrals with variable kernels on Hardy spaces and weak Hardy spaces
Classical Analysis and ODEs
2017-11-28 v1
Abstract
In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, the author establishes the boundedness of parameterized Marcinkiewicz integral with variable kernel on these spaces, under the Dini condition or H\"{o}rmander condition imposed on kernel.
Keywords
Cite
@article{arxiv.1711.09613,
title = {Boundedness of parameterized Marcinkiewicz integrals with variable kernels on Hardy spaces and weak Hardy spaces},
author = {Bo Li},
journal= {arXiv preprint arXiv:1711.09613},
year = {2017}
}
Comments
11 pages