Work

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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.19468

Authors: Chen, Yanping, Wang, Teng

Institutions: Northeastern University, University of Science and Technology Beijing

Language: English

Topic: Advanced Harmonic Analysis Research

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G1096993535, G2606178647

OpenAlex ID: W7221991906

Cites:

Cited by:

Related to: 10