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arXiv · 1602.05846

Fractional integral operator for $L^1$ vector fields and its applications

Zhibing Zhang
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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.

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Zhibing Zhang. 2016-01-15. Fractional integral operator for $L^1$ vector fields and its applications. https://arxiv.org/abs/1602.05846

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