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.
@article{urn:eudml:doc:41597,
title = {Estimates for the Bergman and Szeg\"o projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.},
journal = {Publicacions Matem\`atiques},
volume = {50},
year = {2006},
pages = {413-446},
zbl = {1120.32002},
mrnumber = {MR2273668},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41597}
}
Charpentier, Philippe; Dupain, Yves. Estimates for the Bergman and Szegö projections for pseudoconvex domains of finite type with locally diagonalizable Levi form.. Publicacions Matemàtiques, Tome 50 (2006) pp. 413-446. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41597/