Mixed norm estimates for Hermite multipliers
R. Lakshmi Lavanya, S. Thangavelu
TL;DR
This paper derives mixed norm estimates for various Hermite-related operators, including semigroups, Bochner Riesz means, and Littlewood-Paley functions, advancing the understanding of Hermite multipliers.
Contribution
It provides new mixed norm estimates for Hermite operators, including semigroups and multipliers, extending previous results in harmonic analysis.
Findings
Mixed norm estimates for Hermite semigroup and Bochner Riesz means.
Derived estimates for Littlewood-Paley g functions and g* functions.
Established bounds for Hermite multipliers based on these estimates.
Abstract
In this article mixed norm estimates are obtained for some integral operators, from which those for the Hermite semigroup and the Bochner Riesz means associated with the Hermite expansions are deduced. Also, mixed norm estimates for the Littlewood Paley g functions and g* functions for the Hermite expansions are obtained, which lead to those for Hermite multipliers
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Mathematical Analysis and Transform Methods · Approximation Theory and Sequence Spaces