$L^p$ boundedness of Riesz transforms for orthogonal polynomials in a general context

Liliana Forzani, Emanuela Sasso, and Roberto Scotto. "$L^{p}$ boundedness of Riesz transforms for orthogonal polynomials in a general context." Studia Mathematica 231.1 (2015): 45-71. <http://eudml.org/doc/285399>.

@article{LilianaForzani2015,
abstract = {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 L². Following them, we give easy to check sufficient conditions for their boundedness on $L^\{p\}$, 1 < p < ∞. We also discuss the symmetrized version of these transforms.},
author = {Liliana Forzani, Emanuela Sasso, Roberto Scotto},
journal = {Studia Mathematica},
keywords = {orthogonal polynomials; heat-diffusion semigroups; Riesz functions},
language = {eng},
number = {1},
pages = {45-71},
title = {$L^\{p\}$ boundedness of Riesz transforms for orthogonal polynomials in a general context},
url = {http://eudml.org/doc/285399},
volume = {231},
year = {2015},
}

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
VL - 231
IS - 1
SP - 45
EP - 71
AB - 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 L². Following them, we give easy to check sufficient conditions for their boundedness on $L^{p}$, 1 < p < ∞. We also discuss the symmetrized version of these transforms.
LA - eng
KW - orthogonal polynomials; heat-diffusion semigroups; Riesz functions
UR - http://eudml.org/doc/285399
ER -