6533b820fe1ef96bd1279abc

RESEARCH PRODUCT

Maximal regularity for Kolmogorov operators in L2 spaces with respect to invariant measures

Alessandra LunardiBálint Farkas

subject

Discrete mathematicsPure mathematicsSemigroupApplied MathematicsGeneral MathematicsDegenerate energy levelsInvariant measureMathematics::ProbabilityDegenerate Ornstein–Uhlenbeck operatorHypoellipticityHypoelliptic operatorEmbeddingMaximal regularityInvariant (mathematics)Mathematics

description

Abstract We prove an optimal embedding result for the domains of Kolmogorov (or degenerate hypoelliptic Ornstein–Uhlenbeck) operators in L 2 spaces with respect to invariant measures. We use an interpolation method together with optimal L 2 estimates for the space derivatives of T ( t ) f near t = 0 , where T ( t ) is the Ornstein–Uhlenbeck semigroup and f is any function in L 2 .

yearjournalcountryeditionlanguage
2006-10-01Journal de Mathématiques Pures et Appliquées
https://doi.org/10.1016/j.matpur.2006.06.002