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2015 HIGHER ORDER RIESZ TRANSFORMS FOR THE DUNKL HARMONIC OSCILLATOR
Walid Nefzi
Taiwanese J. Math. 19(2): 567-583 (2015). DOI: 10.11650/tjm.19.2015.4762

Abstract

The aim of this paper is to extend the study of Riesz transforms associated to the Dunkl harmonic oscillator considered by A.Nowak and K. Stempak to higher order. The methods used to establish the $L^p$-boundedness of these transforms call the Calder$\acute{o}$n-Zygmund theory.

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Walid Nefzi. "HIGHER ORDER RIESZ TRANSFORMS FOR THE DUNKL HARMONIC OSCILLATOR." Taiwanese J. Math. 19 (2) 567 - 583, 2015. https://doi.org/10.11650/tjm.19.2015.4762

Information

Published: 2015
First available in Project Euclid: 4 July 2017

zbMATH: 1357.42006
MathSciNet: MR3332314
Digital Object Identifier: 10.11650/tjm.19.2015.4762

Subjects:
Primary: 33C45 , 42B20

Keywords: Calder$\acute{o}$n-Zygmund operators , Dunkl operators , generalized Hermite functions , higher Dunkl-Riesz transforms

Rights: Copyright © 2015 The Mathematical Society of the Republic of China

Vol.19 • No. 2 • 2015
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