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

Charpentier, Philippe, and Dupain, Yves. "Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.." Publicacions Matemàtiques 50.2 (2006): 413-446. <http://eudml.org/doc/41597>.

@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 -