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

被引：27

作者：

Farkas, B.

Lunardi, A.

机构：

[1] Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, Germany

[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2006年 / 86卷 / 04期

关键词：

degenerate Ornstein-Uhlenbeck operator; hypoellipticity; invariant measure; maximal regularity;

D O I：

10.1016/j.matpur.2006.06.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an optimal embedding result for the domains of Kolmogorov (or degenerate hypoelliptic Omstein-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 Omstein-Uhlenbeck semigroup and f is any function in L2. (c) 2006 Elsevier SAS. All rights reserved.

引用

页码：310 / 321

页数：12

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