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arXiv · 2310.18649

Weighted $L^p$-norm inequality of multi-parameter fractional integration

Chuhan Sun·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 desired two-weight, L^p-norm inequality provided that the corresponding multi-parameter theta-bump characteristic is finite.

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Chuhan Sun, Zipeng Wang. 2023-10-28. Weighted $L^p$-norm inequality of multi-parameter fractional integration. https://arxiv.org/abs/2310.18649

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