RESOLVENT ESTIMATES FOR SOME CLASSES OF PSEUDODIFFERENTIAL-OPERATORS

Authors
SAHBANI J
Citation
J. Sahbani, RESOLVENT ESTIMATES FOR SOME CLASSES OF PSEUDODIFFERENTIAL-OPERATORS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(1), 1997, pp. 117-122
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
1
Year of publication
1997
Pages
117 - 122
Database
ISI
SICI code
0764-4442(1997)325:1<117:REFSCO>2.0.ZU;2-L
Abstract
We study the continuity properties of the boundary Values of the resol vent of self-adjoint operators of the form H = H-0 + V, where H-0 is a pseudo-differential operator, while V is an operator that tends to ze ro at infinity in some sense. In particular, relativistic and non-rela tivistic Schrodinger operators, Dirac operators, and Stark effect Hami ltonian are included. Our results are optimal on the Holder-Zygmund sc ale.