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April 2016 Weighted weak type (1,1) estimates for singular integrals with non-isotropic homogeneity
Shuichi Sato
Author Affiliations +
Ark. Mat. 54(1): 157-180 (April 2016). DOI: 10.1007/s11512-015-0215-1

Abstract

We prove sharp weighted weak type (1,1) estimates for rough singular integral operators on homogeneous groups. Similar results are shown for singular integrals on $\mathbb{R}^{2}$ with the generalized homogeneity.

Funding Statement

This research was partially supported by Grant-in-Aid for Scientific Research (C) No. 25400130, Japan Society for the Promotion of Science.

Citation

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Shuichi Sato. "Weighted weak type (1,1) estimates for singular integrals with non-isotropic homogeneity." Ark. Mat. 54 (1) 157 - 180, April 2016. https://doi.org/10.1007/s11512-015-0215-1

Information

Received: 18 September 2014; Published: April 2016
First available in Project Euclid: 30 January 2017

zbMATH: 1337.42015
MathSciNet: MR3475822
Digital Object Identifier: 10.1007/s11512-015-0215-1

Rights: 2015 © Institut Mittag-Leffler

Vol.54 • No. 1 • April 2016
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