# Fractional integral operator for L1 vector fields and its applications

@article{Zhang2016FractionalIO, title={Fractional integral operator for L1 vector fields and its applications}, author={Zhibing Zhang}, journal={Indian Journal of Pure and Applied Mathematics}, year={2016}, volume={49}, pages={559-569} }

This paper studies fractional integral operator for vector fields in weighted L1. 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 div-curl inequalities for vector fields.

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