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}
}
  • Zhibing Zhang
  • Published 2016
  • Mathematics
  • Indian Journal of Pure and Applied Mathematics
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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