Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator
Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 257-273
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
The aim of this paper is to extend the study of Riesz transforms associated to Dunkl Ornstein-Uhlenbeck operator considered by A. Nowak, L. Roncal and K. Stempak to higher order.
DOI :
10.21136/CMJ.2018.0280-17
Classification :
26A33, 42C10, 42C20, 43A15, 47G40
Keywords: Dunkl Laplacian; Dunkl Ornstein-Uhlenbeck operator; generalized Hermite polynomial; Riesz transform
Keywords: Dunkl Laplacian; Dunkl Ornstein-Uhlenbeck operator; generalized Hermite polynomial; Riesz transform
@article{10_21136_CMJ_2018_0280_17,
author = {Nefzi, Walid},
title = {Higher order {Riesz} transforms for the {Dunkl} {Ornstein-Uhlenbeck} operator},
journal = {Czechoslovak Mathematical Journal},
pages = {257--273},
publisher = {mathdoc},
volume = {69},
number = {1},
year = {2019},
doi = {10.21136/CMJ.2018.0280-17},
mrnumber = {3923588},
zbl = {07088783},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0280-17/}
}
TY - JOUR AU - Nefzi, Walid TI - Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator JO - Czechoslovak Mathematical Journal PY - 2019 SP - 257 EP - 273 VL - 69 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0280-17/ DO - 10.21136/CMJ.2018.0280-17 LA - en ID - 10_21136_CMJ_2018_0280_17 ER -
%0 Journal Article %A Nefzi, Walid %T Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator %J Czechoslovak Mathematical Journal %D 2019 %P 257-273 %V 69 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2018.0280-17/ %R 10.21136/CMJ.2018.0280-17 %G en %F 10_21136_CMJ_2018_0280_17
Nefzi, Walid. Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator. Czechoslovak Mathematical Journal, Tome 69 (2019) no. 1, pp. 257-273. doi: 10.21136/CMJ.2018.0280-17
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