June 2024 Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces
Yongsheng Han, Steven G. Krantz, Chaoqiang Tan
Author Affiliations +
Illinois J. Math. 68(2): 365-397 (June 2024). DOI: 10.1215/00192082-11285717

Abstract

This paper is motivated by Phong and Stein’s paper on non-standard singular integrals with mixed homogeneities. Our purpose is to study these new non-standard convolution singular integrals and establish the boundedness of these singular integrals on the Hardy spaces.

Citation

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Yongsheng Han. Steven G. Krantz. Chaoqiang Tan. "Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces." Illinois J. Math. 68 (2) 365 - 397, June 2024. https://doi.org/10.1215/00192082-11285717

Information

Received: 18 April 2023; Revised: 28 March 2024; Published: June 2024
First available in Project Euclid: 17 June 2024

Digital Object Identifier: 10.1215/00192082-11285717

Subjects:
Primary: 42B20
Secondary: 42B25 , 46E35

Rights: Copyright © 2024 by the University of Illinois at Urbana–Champaign

Vol.68 • No. 2 • June 2024
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