Weak Type Estimate of Singular Integral Operators on Variable Weak Herz-Type Hardy Spaces

Hamza Brahim  Boulares; Douadi Drihem; Wafa Hebbache

doi:10.52737/18291163-2023.15.3-1-33

Authors

Hamza Brahim Boulares Department of Mathematics, M'sila University
Douadi Drihem Department of Mathematics, M'sila University https://orcid.org/0000-0003-0473-5752
Wafa Hebbache Department of Mathematics, M'sila University

DOI:

https://doi.org/10.52737/18291163-2023.15.3-1-33

Keywords:

Herz-Type Hardy Space, Weak Herz Spaces, Weak Herz-Type Hardy Spaces, Atom, Variable Exponent, Singular Intergral Operators

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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