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arXiv · 2312.04851

Two-weight, two-parameter fractional integration with one side condition

Lijuan Wang·Zhiming Wang·Zipeng Wang
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Abstract

We study a family of strong fractional integral operators whose kernels have singularity on every coordinate subspace. We prove a two-weight $L^p$-$L^q$-norm inequality by allowing only one of the weights to satisfy $A_p\times A_p$-condition.

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Lijuan Wang, Zhiming Wang, Zipeng Wang. 2023-12-08. Two-weight, two-parameter fractional integration with one side condition. https://arxiv.org/abs/2312.04851

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