$L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context
Studia Mathematica, Tome 231 (2015) no. 1, pp. 45-71
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Nowak and Stempak (2006) proposed a unified approach to the theory of Riesz transforms and conjugacy in the setting of multi-dimensional orthogonal expansions, and proved their boundedness on $L^2$. Following them, we give easy to check sufficient conditions for their boundedness on $L^p$, $1 \lt p \lt \infty $. We also discuss the symmetrized version of these transforms.
Keywords:
nowak stempak proposed unified approach theory riesz transforms conjugacy setting multi dimensional orthogonal expansions proved their boundedness following easy check sufficient conditions their boundedness infty discuss symmetrized version these transforms
Affiliations des auteurs :
Liliana Forzani 1 ; Emanuela Sasso 2 ; Roberto Scotto 1
@article{10_4064_sm8221_1_2016,
author = {Liliana Forzani and Emanuela Sasso and Roberto Scotto},
title = {$L^p $ boundedness of {Riesz} transforms for orthogonal polynomials in a general context},
journal = {Studia Mathematica},
pages = {45--71},
publisher = {mathdoc},
volume = {231},
number = {1},
year = {2015},
doi = {10.4064/sm8221-1-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8221-1-2016/}
}
TY - JOUR AU - Liliana Forzani AU - Emanuela Sasso AU - Roberto Scotto TI - $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context JO - Studia Mathematica PY - 2015 SP - 45 EP - 71 VL - 231 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm8221-1-2016/ DO - 10.4064/sm8221-1-2016 LA - en ID - 10_4064_sm8221_1_2016 ER -
%0 Journal Article %A Liliana Forzani %A Emanuela Sasso %A Roberto Scotto %T $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context %J Studia Mathematica %D 2015 %P 45-71 %V 231 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/sm8221-1-2016/ %R 10.4064/sm8221-1-2016 %G en %F 10_4064_sm8221_1_2016
Liliana Forzani; Emanuela Sasso; Roberto Scotto. $L^p $ boundedness of Riesz transforms for orthogonal polynomials in a general context. Studia Mathematica, Tome 231 (2015) no. 1, pp. 45-71. doi: 10.4064/sm8221-1-2016
Cité par Sources :