Area Littlewood-Paley functions associated with Hermite and Laguerre operators
J.J. Betancor, S.M. Molina, L. Rodriguez-Mesa
TL;DR
This paper investigates the boundedness of area Littlewood-Paley functions linked to heat semigroups for Hermite and Laguerre operators, advancing understanding of their harmonic analysis properties.
Contribution
It establishes Lp-boundedness results for these functions, providing new insights into their behavior in the context of Hermite and Laguerre operators.
Findings
Lp-boundedness of area Littlewood-Paley functions proven
Results extend harmonic analysis tools to Hermite and Laguerre settings
Enhances understanding of heat semigroup associated functions
Abstract
In this paper we study Lp-boundedness properties for area Littlewood-Paley functions associated with heat semigroups for Hermite and Laguerre operators
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Approximation Theory and Sequence Spaces