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Fractional integral operator for $L^1$ vector fields and its applications by Zhang, Zhibing is a scholarly article available to read on EtoBox.

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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.

Author

Zhang, Zhibing

Published

2016

Language

EN