Open Access 2016 | OriginalPaper | Chapter
Rockland operators and Sobolev spaces
Authors : Veronique Fischer, Michael Ruzhansky
Published in: Quantization on Nilpotent Lie Groups
Publisher: Springer International Publishing
In this chapter, we study a special type of operators: the (homogeneous) Rockland operators. These operators can be viewed as a generalisation of sub-Laplacians to the non-stratified but still homogeneous (graded) setting. The terminology comes from a property conjectured by Rockland and eventually proved by Helffer and Nourrigat in [HN79], see Section 4.1.3.