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

Liliana ForzaniEmanuela SassoRoberto Scotto — 2015

Studia Mathematica

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.

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