The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure
Jorge J. Betancor, Alejandro J. Castro, Marta De Le\'on-Contreras
TL;DR
This paper characterizes Banach lattices with the Hardy-Littlewood property through maximal operators linked to semigroups of operators associated with the inverse Gauss measure, advancing understanding of harmonic analysis in this context.
Contribution
It introduces a new characterization of Banach lattices with the Hardy-Littlewood property using maximal operators related to the inverse Gauss measure.
Findings
Banach lattices with the Hardy-Littlewood property are characterized.
Maximal operators associated with inverse Gauss measure semigroups are key.
Provides new insights into harmonic analysis and operator theory.
Abstract
In this paper we characterize the Banach lattices with the Hardy-Littlewood property by using maximal operators defined by semigroups of operators associated with the inverse Gauss measure.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods