On Gaussian Lipschitz spaces and the boundedness of fractional integrals and fractional derivatives on them

DOI10.2989/16073606.2014.981690zbMath1404.42053arXiv0911.3962OpenAlexW2963890221MaRDI QIDQ2968647

A. Eduardo Gatto, Wilfredo O. Urbina R.

Publication date: 20 March 2017

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3962

zbMATH Keywords

fractional integrationLipschitz spacesGaussian measurefractional differentiation

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)

Related Items (7)

Regularity property of some operators on Lipschitz spaces and homogeneous Lipschitz spaces associated with biharmonic operator ⋮ Parabolic Hermite Lipschitz spaces: regularity of fractional operators ⋮ A characterization of the Gaussian Lipschitz space and sharp estimates for the Ornstein-Uhlenbeck Poisson kernel ⋮ Ornstein–Uhlenbeck operators and semigroups ⋮ Lipschitz spaces adapted to Schrödinger operators and regularity properties ⋮ Riesz Potentials, Bessel Potentials, and Fractional Derivatives on Besov-Lipschitz Spaces for the Gaussian Measure ⋮ Discrete Hölder spaces and their characterization via semigroups associated with the discrete Laplacian and kernel estimates

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