Intrinsic Taylor formula for Kolmogorov-type homogeneous groups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:435

Article

Pagliarani, Stefano¹  Pascucci, Andrea²  Pignotti, Michele² 

[1] Ecole Polytech, Ctr Math Appl, F-75230 Paris, France

[2] Univ Bologna, Dipartmento Matemat, Bologna, Italy

关键词: Kolmogorov operators;    Hypoelliptic operators;    Hormander's condition;    Intrinsic Taylor formula;   

DOI  :  10.1016/j.jmaa.2015.10.080

来源: Elsevier

【 摘 要 】

We consider a class of ultra-parabolic Kolmogorov-type operators satisfying the Hormander's condition. We prove an intrinsic Taylor formula with global and local bounds for the remainder given in terms of the norm in the homogeneous Lie group naturally associated to the differential operator. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free