Quantitative weighted bounds for Calderón commutators with rough kernels
Volume 263 / 2022
Studia Mathematica 263 (2022), 339-360
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.
