Riesz transforms on variable Lebesgue spaces with Gaussian measure

DOI10.1080/10652469.2017.1296835zbMath1372.42008OpenAlexW2592241594MaRDI QIDQ5269324

Estefanía Dalmasso, Roberto Scotto

Publication date: 15 June 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1296835

zbMATH Keywords

Gaussian measureRiesz transformvariable Lebesgue spacesOrnstein-Uhlenbeck semi group

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (3)

The Hardy-Littlewood property and maximal operators associated with the inverse Gauss measure ⋮ New Gaussian Riesz transforms on variable Lebesgue spaces ⋮ Boundedness of the Maximal Function of the Ornstein-Uhlenbeck semigroup on variable Lebesgue spaces with respect to the Gaussian measure and consequences

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Lebesgue and Sobolev spaces with variable exponents
• On the Riesz transforms for Gaussian measures
• Weak-type estimates for the Riesz transform associated with the Gaussian measure
• On higher Riesz transforms for Gaussian measures
• The local part and the strong type for operators related to the Gaussian measure.
• Hypoelliptic second order differential equations
• Two-weighted estimations for the Hardy-Littlewood maximal function in ideal Banach spaces
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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