Stein-Weiss inequality in $L^{1}$ norm for vector fields
Classical Analysis and ODEs
2020-12-02 v1 Analysis of PDEs
Abstract
In this work, we investigate the limit case of the classical Stein--Weiss inequality for the Riesz potential.We present a characterization for a special class of vector fields associated to cocanceling operators introduced by Van Schaftingen in arXiv:1104.0192. As an application, we recover some div-curl inequalities found in the literature. In addition, we discuss a two-weight inequality with general weights in the scalar case, extending the previous result of Sawyer to this case.
Keywords
Cite
@article{arxiv.2012.00067,
title = {Stein-Weiss inequality in $L^{1}$ norm for vector fields},
author = {Pablo De Nápoli and Tiago Picon},
journal= {arXiv preprint arXiv:2012.00067},
year = {2020}
}