Lp boundedness of Riesz transforms for orthogonal polynomials in a general context
Liliana Forzani ; Emanuela Sasso ; Roberto Scotto
Studia Mathematica, Tome 231 (2015), p. 45-71 / Harvested from The Polish Digital Mathematics Library
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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 Lp, 1 < p < ∞. We also discuss the symmetrized version of these transforms.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:285399 
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     title = {$L^{p}$ boundedness of Riesz transforms for orthogonal polynomials in a general context},
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Liliana Forzani; Emanuela Sasso; Roberto Scotto. $L^{p}$ boundedness of Riesz transforms for orthogonal polynomials in a general context. Studia Mathematica, Tome 231 (2015) pp. 45-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm8221-1-2016/