Derivees tangentielles des fonctions de la classe k , α dans les domaines de type fini de ℂ²

Laurent Verdoucq

Annales Polonici Mathematici (2002)

  • Volume: 78, Issue: 3, page 193-225
  • ISSN: 0066-2216

Abstract

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Let Ω be a domain of finite type in ℂ² and let f be a function holomorphic in Ω and belonging to k , α ( Ω ̅ ) . We prove the existence of boundary values for some suitable derivatives of f of order greater than k. The gain of derivatives holds in the complex-tangential direction and it is precisely related to the geometry of ∂Ω. Then we prove a property of non-isotropic Hölder regularity for these boundary values. This generalizes some results given by J. Bruna and J. M. Ortega for the unit ball.

How to cite

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Laurent Verdoucq. "Derivees tangentielles des fonctions de la classe $^{k,α}$ dans les domaines de type fini de ℂ²." Annales Polonici Mathematici 78.3 (2002): 193-225. <http://eudml.org/doc/280974>.

@article{LaurentVerdoucq2002,
author = {Laurent Verdoucq},
journal = {Annales Polonici Mathematici},
keywords = {holomorphic functions of several variables; boundary behavior; Hölder regularity; complex tangential derivative; domain of finite type},
language = {fre},
number = {3},
pages = {193-225},
title = {Derivees tangentielles des fonctions de la classe $^\{k,α\}$ dans les domaines de type fini de ℂ²},
url = {http://eudml.org/doc/280974},
volume = {78},
year = {2002},
}

TY - JOUR
AU - Laurent Verdoucq
TI - Derivees tangentielles des fonctions de la classe $^{k,α}$ dans les domaines de type fini de ℂ²
JO - Annales Polonici Mathematici
PY - 2002
VL - 78
IS - 3
SP - 193
EP - 225
LA - fre
KW - holomorphic functions of several variables; boundary behavior; Hölder regularity; complex tangential derivative; domain of finite type
UR - http://eudml.org/doc/280974
ER -

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