The composition of singular integral operators with nonsmooth kernels

Guoen Hu and Yandan Zhang

Mathematische Nachrichten, 2021, vol. 294, issue 11, 2160-2183

Abstract: Let T1, T2 be two singular integral operators with nonsmooth kernels introduced by Duong and McIntosh. In this paper, by establishing certain bi‐sublinear sparse dominations, the authors obtain some quantitative bounds on Lp(Rn,w) with p∈(1,∞) and w∈Ap(Rn) for the composite operator T1T2. Some weighted weak type endpoint estimates are also given.

Date: 2021
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https://doi.org/10.1002/mana.201970001

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