Quantitative weighted bounds for Calderón commutators with rough kernels

Yanping Chen, Ji Li Studia Mathematica MSC: Primary 42B20; Secondary 42B25. DOI: 10.4064/sm210213-12-7 Published online: 15 November 2021

Abstract

We obtain a quantitative weighted bound for the Calderón commutator $\mathcal C_\Omega $ which is a typical example of a non-convolution Calderón–Zygmund operator under the condition $\Omega \in L^\infty (\mathbb S^{n-1})$; this is the best known quantitative result for this class of rough operators.

Authors

  • Yanping ChenSchool of Mathematics and Physics
    University of Science and Technology Beijing
    100083 Beijing, China
    e-mail
  • Ji LiDepartment of Mathematics and Statistics
    Macquarie University
    Sydney NSW 2109, Australia
    e-mail

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