Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity
Classical Analysis and ODEs
2017-08-25 v1
Abstract
We prove the endpoint weak type estimate for square functions of Marcinkiewicz type with fractional integrals associated with non-isotropic dilations. This generalizes a result of C. Fefferman on functions of Marcinkiewicz type by considering fractional integrals of mixed homogeneity in place of the Riesz potentials of Euclidean structure.
Keywords
Cite
@article{arxiv.1708.07343,
title = {Weak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneity},
author = {Shuichi Sato},
journal= {arXiv preprint arXiv:1708.07343},
year = {2017}
}
Comments
21 pages