THE SECTOR OF ANALYTICITY OF THE ORNSTEIN–UHLENBECK SEMIGROUP ON LpL^{p}Lp SPACES WITH RESPECT TO INVARIANT MEASURE (original) (raw)

Journal of The London Mathematical Society-second Series, 2005

Abstract

The sector of analyticity of the Ornstein-Uhlenbeck semigroup is computed on the space Lp µ := Lp (RN ; µ) with respect to its invariant measure µ .I fA =∆ +Bx ·∇ denotes the generator of the Ornstein-Uhlenbeck semigroup, then the angle θ2 of the sector of analyticity in L2 µ is π/2 minus the spectral angle of BQ∞, Q∞

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