Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates - Centre Henri Lebesgue Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2020

Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates

Paul Alphonse
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Résumé

We study semigroups generated by general fractional Ornstein-Uhlenbeck operators acting on L2(Rn). We characterize geometrically the partial Gevrey-type smoothing properties of these semigroups and we sharply describe the blow-up of the associated seminorms for short times, generalizing the hypoelliptic and the quadratic cases. As a byproduct of this study, we establish partial subelliptic estimates enjoyed by fractional Ornstein-Uhlenbeck operators on the whole space by using interpolation theory.
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Dates et versions

hal-02894032 , version 1 (08-07-2020)
hal-02894032 , version 2 (28-12-2021)

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Paul Alphonse. Description of the smoothing effects of semigroups generated by fractional Ornstein-Uhlenbeck operators and subelliptic estimates. 2020. ⟨hal-02894032v1⟩
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