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On the Generalized Ornstein-Uhlenbeck Semigroup (1907.13474v4)
Published 30 Jul 2019 in math.FA
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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