---
_id: '3691'
abstract:
- lang: eng
  text: 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 C k-estimates.
author:
- first_name: Christoph
  full_name: Christoph Lampert
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
citation:
  ama: Lampert C. Boundary regularity of admissible operators. <i>Publicacions Matemàtiques</i>.
    2005;49(1):179-195. doi:<a href="https://doi.org/10.5565/PUBLMAT_49105_08">10.5565/PUBLMAT_49105_08</a>
  apa: Lampert, C. (2005). Boundary regularity of admissible operators. <i>Publicacions
    Matemàtiques</i>. Universitat Autònoma de Barcelona, Departament de Matemàtique.
    <a href="https://doi.org/10.5565/PUBLMAT_49105_08">https://doi.org/10.5565/PUBLMAT_49105_08</a>
  chicago: Lampert, Christoph. “Boundary Regularity of Admissible Operators.” <i>Publicacions
    Matemàtiques</i>. Universitat Autònoma de Barcelona, Departament de Matemàtique,
    2005. <a href="https://doi.org/10.5565/PUBLMAT_49105_08">https://doi.org/10.5565/PUBLMAT_49105_08</a>.
  ieee: C. Lampert, “Boundary regularity of admissible operators,” <i>Publicacions
    Matemàtiques</i>, vol. 49, no. 1. Universitat Autònoma de Barcelona, Departament
    de Matemàtique, pp. 179–195, 2005.
  ista: Lampert C. 2005. Boundary regularity of admissible operators. Publicacions
    Matemàtiques. 49(1), 179–195.
  mla: Lampert, Christoph. “Boundary Regularity of Admissible Operators.” <i>Publicacions
    Matemàtiques</i>, vol. 49, no. 1, Universitat Autònoma de Barcelona, Departament
    de Matemàtique, 2005, pp. 179–95, doi:<a href="https://doi.org/10.5565/PUBLMAT_49105_08">10.5565/PUBLMAT_49105_08</a>.
  short: C. Lampert, Publicacions Matemàtiques 49 (2005) 179–195.
date_created: 2018-12-11T12:04:38Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T07:48:59Z
day: '01'
doi: 10.5565/PUBLMAT_49105_08
extern: 1
intvolume: '        49'
issue: '1'
month: '01'
page: 179 - 195
publication: Publicacions Matemàtiques
publication_status: published
publisher: Universitat Autònoma de Barcelona, Departament de Matemàtique
publist_id: '2673'
quality_controlled: 0
status: public
title: Boundary regularity of admissible operators
type: journal_article
volume: 49
year: '2005'
...