pith. sign in

arxiv: 1602.05846 · v2 · pith:CKQCWSONnew · submitted 2016-01-15 · 🧮 math.CA · math.AP· math.FA

Fractional integral operator for L¹ vector fields and its applications

classification 🧮 math.CA math.APmath.FA
keywords fieldsfractionalinequalitiesintegraloperatorvectorapplicationscaffarelli-kohn-nirenberg
0
0 comments X
read the original abstract

This paper studies fractional integral operator for vector fields in weighted $L^1$. 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 $\divg$-$\curl$ inequalities for vector fields.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.