On the Generalized Ornstein-Uhlenbeck Semigroup

2019/07/30 by M. Maslouhi, Maslouhi, Mostafa, El houssain Lamine +1 · 1 citation
Mathematics · Physics and Astronomy · #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1907.13474

openalex publication_date 2019/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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