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Boundary regularity of admissible operators
Lampert, Christoph H.

Data: 2005
Resum: 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.
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; Versió publicada
Matèria: Integral operators ; Commutator relationship ; Delta-Neumann-problem
Publicat a: Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 179-195, ISSN 2014-4350

Adreça alternativa: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/128397
DOI: 10.5565/PUBLMAT_49105_08


17 p, 162.1 KB

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