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arXiv · 1607.05586

Weighted vector-valued bounds for the singular integral operators with nonsmooth kernels

Guoen Hu
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Abstract

Let $T$ be a singular integral operator with non-smooth kernel which were introduced by Duong and McIntosh. In this paper, we prove that this operator and its corresponding grand maximal operator satisfies certain weak type endpoint vector-valued estimate of $L\log L$ type. As an application we established a refined weighted vector-valued bound for this operator.

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Guoen Hu. 2016-07-19. Weighted vector-valued bounds for the singular integral operators with nonsmooth kernels. https://arxiv.org/abs/1607.05586

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