Weak Type Estimate of Singular Integral Operators on Variable Weak Herz–Type Hardy Spaces
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Date
2023
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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 pa rameters to vary from point to point will raise extra difficulties,
which, in general, are overcome by imposing regularity assump tions 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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Keywords
Herz-Type Hardy Space, Weak Herz Spaces, Weak Herz-Type Hardy Spaces, Atom, Variable Exponent, Singular Intergral Operators Mathematics Subject Classification 2010: 42B20, 42B35, 46E30