– OFF-DIAGONAL ESTIMATES FOR THE ORNSTEIN–UHLENBECK SEMIGROUP: SOME POSITIVE AND NEGATIVE RESULTS

DOI10.1017/S0004972716001386zbMath1368.47030arXiv1607.01666MaRDI QIDQ4975606

Jonas Teuwen, Alex Amenta

Publication date: 7 August 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01666

zbMATH Keywords

off-diagonal estimatesMehler kernelOrnstein-Uhlenbeck semigroup

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Abstract harmonic analysis (43A99)

Related Items (1)

Ornstein–Uhlenbeck operators and semigroups

Cites Work

• Finite speed of propagation and off-diagonal bounds for Ornstein-Uhlenbeck operators in infinite dimensions
• Weighted Nash inequalities
• A note on Gaussian maximal functions
• Quadratic estimates and functional calculi of perturbed Dirac operators
• Operators associated with the Hermite semigroup - a survey
• The solution of the Kato square root problem for second order elliptic operators on \(\mathbb R^n\).
• Dimension dependent hypercontractivity for Gaussian kernels
• BMO and \(H^{1}\) for the Ornstein-Uhlenbeck operator
• Construction of quantum fields from Markoff fields
• Weighted norm inequalities, off-diagonal estimates and elliptic operators. II: Off-diagonal estimates on spaces of homogeneous type
• On the integral kernels of derivatives of the Ornstein–Uhlenbeck semigroup
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates

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