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A Note on Marcinkiewicz Integral Operators on Product Domains.

Authors :
AL-AZRI, BADRIYA
AL-SALMAN, AHMAD
Source :
Kyungpook Mathematical Journal. Dec2023, Vol. 63 Issue 4, p577-591. 15p.
Publication Year :
2023

Abstract

In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*CONVEX functions
*INTEGRAL operators
*MAXIMAL functions

Details

Language :
English
ISSN :
12256951
Volume :
63
Issue :
4
Database :
Academic Search Index
Journal :
Kyungpook Mathematical Journal
Publication Type :
Academic Journal
Accession number :
175552255
Full Text :
https://doi.org/10.5666/KMJ.2023.63.4.577
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