Armenian Journal of Mathematics, 15(3)
2023; 1–33
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Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces

Received: 2024-12-04 · Published: 2023-03-10

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Original title
Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces
Authors
Hamza Brahim Boulares, Douadi Drihem, Wafa Hebbache
Source journal
Armenian Journal of Mathematics, 15(3)
Published
2023-03-10
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2023.15.3-1-33

Abstract

This paper is concerned with the boundedness properties of singular integral operators on variable weak Herz spaces and variable weak Herz-type Hardy spaces. Allowing our parameters to vary from point to point will raise extra difficulties, which, in general, are overcome by imposing regularity assumptions on these exponents, either at the origin or at infinity. Our results cover the classical results on weak Herz-type Hardy spaces with fixed exponents.
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