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arXiv · 1907.13474

On the Generalized Ornstein-Uhlenbeck Semigroup

Mostafa Maslouhi·El houssain Lamine
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Abstract

We give several functional inequalities related to the Ornstein-Uhlenbeck semigroup in the Dunkl differential-difference operators setting. As an application of these inequalities, we derive out a Sobolev-logarithmic and an hypercontractivity properties for this semigroup

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Mostafa Maslouhi, El houssain Lamine. 2023-12-03. On the Generalized Ornstein-Uhlenbeck Semigroup. https://arxiv.org/abs/1907.13474

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