Boundary regularity of admissible operators.

Lampert, Christoph H.. "Boundary regularity of admissible operators.." Publicacions Matemàtiques 49.1 (2005): 179-195. <http://eudml.org/doc/41558>.

@article{Lampert2005,
abstract = {In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between admissible integral operators, as introduced by Lieb and Range, and smooth vector fields which are tangential at boundary points. This makes it possible to gain estimates for admissible operators in function spaces which involve tangential derivatives. Examples are given under with circumstances these can be transformed into genuine Sobolev- and Ck-estimates.},
author = {Lampert, Christoph H.},
journal = {Publicacions Matemàtiques},
keywords = {Operadores integrales; Conmutadores; Campos vectoriales; integral operators; commutator relationship; -Neumann problem},
language = {eng},
number = {1},
pages = {179-195},
title = {Boundary regularity of admissible operators.},
url = {http://eudml.org/doc/41558},
volume = {49},
year = {2005},
}

TY - JOUR
AU - Lampert, Christoph H.
TI - Boundary regularity of admissible operators.
JO - Publicacions Matemàtiques
PY - 2005
VL - 49
IS - 1
SP - 179
EP - 195
AB - In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between admissible integral operators, as introduced by Lieb and Range, and smooth vector fields which are tangential at boundary points. This makes it possible to gain estimates for admissible operators in function spaces which involve tangential derivatives. Examples are given under with circumstances these can be transformed into genuine Sobolev- and Ck-estimates.
LA - eng
KW - Operadores integrales; Conmutadores; Campos vectoriales; integral operators; commutator relationship; -Neumann problem
UR - http://eudml.org/doc/41558
ER -