The Sector of Analyticity of the Ornstein-Uhlenbeck Semigroup on Lp Spaces with Respect to Invariant Measure期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The Sector of Analyticity of the Ornstein-Uhlenbeck Semigroup on Lp Spaces with Respect to Invariant Measure

Authors:	Chill R; Fasangova E; Metafune G; Pallara D

Institution:	Abteilung Angewandte Analysis, Universität Ulm 89069 Ulm, Germany chill{at}mathematik.uni-ulm.de Department of Mathematical Analysis, Charles University Sokolovská 83, 186 75 Praha 8, Czech Republic fasanga{at}karlin.mff.cuni.cz Dipartimento di Matematica ‘E. De Giorgi’, Università di Lecce POB 193, 73100 Lecce, Italy giorgio.metafune{at}unile.it, diego.pallara{at}unile.it

Abstract:	The sector of analyticity of the Ornstein–Uhlenbeck semigroupis computed on the space := L^p (R^N; µ) with respect to its invariant measure µ.If A= ${Delta}$ + Bx· ${nabla}$ denotes the generator of the Ornstein–Uhlenbecksemigroup, then the angle ${Theta}$ ₂ of the sector of analyticity in is ${pi}$ /2 minus the spectral angleof BQ, Q being the matrix determining the Gaussian measure µ.The angle of analyticity in is then given by the formula

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