Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels

We consider $A_1$-weights and prove weighted weak type $(1,1)$ estimates for oscillatory singular integrals with kernels satisfying a Dini condition.

Authors

Publication Details

Journal
ArXiv.org
Published
2026-04-28
DOI
https://doi.org/10.48550/arxiv.2604.25218
Primary Topic
Mathematical Approximation and Integration
Type
article
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article

Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels

Shūichi Satō
ArXiv.org
Mathematical Approximation and Integration
article

Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels

Shūichi Satō
article en

Abstract

We consider $A_1$-weights and prove weighted weak type $(1,1)$ estimates for oscillatory singular integrals with kernels satisfying a Dini condition.

ArXiv.orgVol. 49(49)
Reduced inequalities
Mathematical Approximation and Integration
DOIOpen Access PDFOpenAlex
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Weighted weak type $(1,1)$ estimates for oscillatory singular integrals with Dini kernels — Shūichi Satō · ArXiv.org (2026) | TGRS Research Map | TGRS