The trace problem for vector fields satisfying Hormander's condition

Authors
Berhanu, S Pesenson, I
Citation
S. Berhanu et I. Pesenson, The trace problem for vector fields satisfying Hormander's condition, MATH Z, 231(1), 1999, pp. 103-122
Citations number
12
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
231
Issue
1
Year of publication
1999
Pages
103 - 122
Database
ISI
SICI code
0025-5874(199905)231:1<103:TTPFVF>2.0.ZU;2-9
Abstract
Trace theorems are proved for non-isotropic Sobolev and L-p-Lipschitz space s defined by vector fields satisfying Hormander's bracket condition of orde r 2. It is shown that the loss of regularity by traces is the same as in th e classical case.