# Boundary regularity of admissible operators.

Publicacions Matemàtiques (2005)

- Volume: 49, Issue: 1, page 179-195
- ISSN: 0214-1493

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topLampert, 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 -

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