Regularity of infinitesimal CR automorphisms

Author(s)
Stefan Fürdös, Bernhard Lamel
Abstract

We study the regularity of infinitesimal CR automorphisms of abstract CR structures which possess a certain microlocal extension and show that there are smooth multipliers, completely determined by the CR structure, such that if X is such an infinitesimal CR automorphism, then λX is smooth for all multipliers λ. As an application, we study the regularity of infinitesimal automorphisms of certain infinite type hypersurfaces in Cn.

Organisation(s)
Department of Mathematics
Journal
International Journal of Mathematics
Volume
27
No. of pages
25
ISSN
0129-167X
DOI
https://doi.org/10.1142/S0129167X16501123
Publication date
12-2016
Peer reviewed
Yes
Austrian Fields of Science 2012
101002 Analysis
Keywords
ASJC Scopus subject areas
Mathematics(all)
Portal url
https://ucris.univie.ac.at/portal/en/publications/regularity-of-infinitesimal-cr-automorphisms(649caa7b-f2ed-4201-829d-bbfb5877534b).html