Let A = ∑i,j=1N qijDij + ∑i,j=1N bij xj Di be a possibly degenerate Ornstein-Uhlenbeck operator in RN and assume that the associated Markov semigroup has an invariant measure μ. We compute the spectrum of A in LμP for 1 ≤ p < ∞
Spectrum of Ornstein-Uhlenbeck operators in Lp spaces with respect to invariant measures
PRIOLA, Enrico
2002-01-01
Abstract
Let A = ∑i,j=1N qijDij + ∑i,j=1N bij xj Di be a possibly degenerate Ornstein-Uhlenbeck operator in RN and assume that the associated Markov semigroup has an invariant measure μ. We compute the spectrum of A in LμP for 1 ≤ p < ∞
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