Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.

@article{Charpentier2006,
abstract = {In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö projections of a bounded pseudoconvex domain whose boundary points are all of finite type and with locally diagonalizable Levi form. Additional local results on estimates of invariant metrics are also given.},
author = {Charpentier, Philippe, Dupain, Yves},
journal = {Publicacions Matemàtiques},
keywords = {Funciones de varias variables complejas; Funciones holomorfas; Dominios pseudoconvexos; Espacios de Sobolev; Espacio de Lipschitz; finite type; Bergman projection; diagonalizable Levi form},
language = {eng},
number = {2},
pages = {413-446},
title = {Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.},
url = {http://eudml.org/doc/41597},
volume = {50},
year = {2006},
}

TY - JOUR
AU - Charpentier, Philippe
AU - Dupain, Yves
TI - Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.
JO - Publicacions Matemàtiques
PY - 2006
VL - 50
IS - 2
SP - 413
EP - 446
AB - In this paper, we give precise isotropic and non-isotropic estimates for the Bergman and Szegö projections of a bounded pseudoconvex domain whose boundary points are all of finite type and with locally diagonalizable Levi form. Additional local results on estimates of invariant metrics are also given.
LA - eng
KW - Funciones de varias variables complejas; Funciones holomorfas; Dominios pseudoconvexos; Espacios de Sobolev; Espacio de Lipschitz; finite type; Bergman projection; diagonalizable Levi form
UR - http://eudml.org/doc/41597
ER -