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arXiv · 2008.12660

Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel

Guoping Zhao·Weichao Guo
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Abstract

By a reduction method, the limiting weak-type behaviors of factional maximal operators and fractional integrals are established without any smoothness assumption on the kernel, which essentially improve and extend previous results. As a byproduct, we characterize the boundedness of several operators by the membership of their kernel in Lebesgue space on sphere.

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Guoping Zhao, Weichao Guo. 2020-09-13. Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel. https://arxiv.org/abs/2008.12660

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