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On the Composition for Rough Singular Integral Operators by Hu, Guoen; Lai, Xudong; Xue, Qingying is a scholarly article available to read on EtoBox.

What is On the Composition for Rough Singular Integral Operators about?

In this paper, we investigate the behavior of the bounds of the composition for rough singular integral operators on the weighted space. More precisely, we obtain the quantitative weighted bounds of the composite operator for two singular integral operators with rough homogeneous kernels on $L^p(\mathbb{R}^d,\,w)$, $p\in (1,\,\infty)$, which is smaller than the product of the quantitative weighted bounds for these two rough singular integral operators. Moreover, at the endpoint $p=1$, the $L\log L$ weighted weak type bound is also obtained, which has interests of its own in the theory of rough singular integral even in the unweighted case.

Author

Hu, Guoen; Lai, Xudong; Xue, Qingying

Published

2018

Language

EN