131 citations
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math.CA2012
Riesz Potentials, Bessel Potentials and Fractional Derivatives on Triebel-Lizorkin spaces for the Gaussian Measure
A. Eduardo Gatto, Ebner Pineda, Wilfredo Urbina
In a previous paper the boundedness properties of Riesz Potentials, Bessel potentials and Fractional Derivatives were studied in detail on Gaussian Besov-Lipschitz spaces $B_{p,q}^…
math.CA2007
Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces
Ebner Pineda, Wilfredo Urbina
In this paper we define Besov-Lipschitz and Triebel-Lizorkin spaces in the context of Gaussian harmonic analysis, the harmonic analysis of Hermite polynomial expansions. We study i…