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arXiv · 2610.19468

Sparse bounds for rough non-translation-invariant Calderón-Zygmund operators

Yanping Chen·Teng Wang
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Abstract

In this paper, we establish sparse bounds for singular integral operators with rough non-translation-invariant Calderón-Zygmund kernels. Our approach verifies the localized hypothesis in the sparse domination framework introduced by Conde-Alonso, Di Plinio et al. The proof refines Seeger's microlocal decomposition using a Littlewood-Paley analysis adapted to the non-translation-invariant setting. As applications, we obtain quantitative weighted estimates for Calderón-type commutators and other singular integrals with rough kernels.

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BibTeXRIS

Yanping Chen, Teng Wang. 2026-10-14. Sparse bounds for rough non-translation-invariant Calderón-Zygmund operators. https://arxiv.org/abs/2610.19468

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