Fractional integral operator for $L^1$ vector fields and its applications
Classical Analysis and ODEs
2019-03-28 v2 Analysis of PDEs
Functional Analysis
Abstract
This paper studies fractional integral operator for vector fields in weighted . Using the estimates on fractional integral operator and Stein-Weiss inequalities, we can give a new proof for a class of Caffarelli-Kohn-Nirenberg inequalities and establish new - inequalities for vector fields.
Cite
@article{arxiv.1602.05846,
title = {Fractional integral operator for $L^1$ vector fields and its applications},
author = {Zhibing Zhang},
journal= {arXiv preprint arXiv:1602.05846},
year = {2019}
}