ON THE REGULARITY OF THE BOUNDARY-VALUES OF A RESOLVENT FAMILY

Authors
DEMONVEL AB GEORGESCU V
Citation
Ab. Demonvel et V. Georgescu, ON THE REGULARITY OF THE BOUNDARY-VALUES OF A RESOLVENT FAMILY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 321(10), 1995, pp. 1299-1304
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
321
Issue
10
Year of publication
1995
Pages
1299 - 1304
Database
ISI
SICI code
0764-4442(1995)321:10<1299:OTROTB>2.0.ZU;2-C
Abstract
Let H, A be two self-adjoint operators such that A is locally conjugat e to H on some real set. We describe the regularity class of the funct ions lambda --> (H - lambda -/+ iota 0)-iota is an element of B (H-s, H-s()), where H-s = D (/A/(S)) With s < 1/2 real. Our results are opt imal on the Lipschitz-Zygmund scale.