Hilbert-valued forms and barriers on weakly pseudoconvex domains.

Thilliez, Vincent. "Hilbert-valued forms and barriers on weakly pseudoconvex domains.." Publicacions Matemàtiques 42.2 (1998): 423-433. <http://eudml.org/doc/41346>.

@article{Thilliez1998,
abstract = {We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J. Michel and M.-C. Shaw, and have various applications. In our paper, the adaptation of Hörmander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding the explosion of the barrier and the regularity assumption on the domain.},
author = {Thilliez, Vincent},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de Hilbert; Dominios pseudoconvexos; Funciones integrales; Espacios de Sobolev; weakly pseudoconvex domain; barrier map; Hilbert-valued differential form},
language = {eng},
number = {2},
pages = {423-433},
title = {Hilbert-valued forms and barriers on weakly pseudoconvex domains.},
url = {http://eudml.org/doc/41346},
volume = {42},
year = {1998},
}

TY - JOUR
AU - Thilliez, Vincent
TI - Hilbert-valued forms and barriers on weakly pseudoconvex domains.
JO - Publicacions Matemàtiques
PY - 1998
VL - 42
IS - 2
SP - 423
EP - 433
AB - We introduce an alternative proof of the existence of certain Ck barrier maps, with polynomial explosion of the derivatives, on weakly pseudoconvex domains in Cn. Barriers of this sort have been constructed very recently by J. Michel and M.-C. Shaw, and have various applications. In our paper, the adaptation of Hörmander's L2 techniques to suitable vector-valued functions allows us to give a very simple approach of the problem and to improve some aspects of the result of Michel and Shaw, regarding the explosion of the barrier and the regularity assumption on the domain.
LA - eng
KW - Espacios de Hilbert; Dominios pseudoconvexos; Funciones integrales; Espacios de Sobolev; weakly pseudoconvex domain; barrier map; Hilbert-valued differential form
UR - http://eudml.org/doc/41346
ER -