Riesz potentials, Bessel potentials and fractional derivatives on Triebel-Lizorkin spaces for the Gaussian measure

DOI10.1016/j.jmaa.2014.08.022zbMath1304.47053arXiv1209.6133OpenAlexW1993769395MaRDI QIDQ465171

Ebner Pineda, A. Eduardo Gatto, Wilfredo O. Urbina R.

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.6133

zbMATH Keywords

Triebel-Lizorkin spacesfractional integrationGaussian measurefractional differentiationHermite expansions

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) One-parameter semigroups and linear evolution equations (47D06) Fractional derivatives and integrals (26A33) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Potential operators (47G40)

Related Items (1)

Ornstein–Uhlenbeck operators and semigroups

Cites Work

• Fractional differentiation for the Gaussian measure and applications
• Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces
• Density questions in the classical theory of moments
• Riesz Potentials, Bessel Potentials, and Fractional Derivatives on Besov-Lipschitz Spaces for the Gaussian Measure
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