Revisiting Riesz transforms for Hermite and Special Hermite Operators

Abstract

In this paper we prove weighted mixed norm estimates for Riesz transforms associated to Hermite and special Hermite operators. The estimates are shown to be equivalent to vectorvalued esimates for a sequence of operators defined in terms of Laguerre functions of different type.

25 pages

References in corpus (4)

• Vector-valued extensions for fractional integrals of Laguerre expansions
• The Riesz transform for the harmonic oscillator in spherical coordinates
• Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators
• Mixed norm estimates for Hermite multipliers

Cited by in corpus (1)

• Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators