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arXiv · 1912.09063

Noncommutative maximal operators with rough kernels

Xudong Lai
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Abstract

This paper is devoted to the study of noncommutative maximal operators with rough kernels. More precisely, we prove the weak type $(1,1)$ boundedness for noncommutative maximal operators with rough kernels. The proof of weak type (1,1) estimate is based on the noncommutative Calder\'on-Zygmund decomposition. To deal with the rough kernel, we use the microlocal decomposition in the proofs of both the bad and good functions.

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Xudong Lai. 2019-12-19. Noncommutative maximal operators with rough kernels. https://arxiv.org/abs/1912.09063

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