The aim of this paper is to establish the theorem of atomic decomposition of weighted Bergman spaces Ap(Ω), where Ω is a domain of finite type in C2. We construct a kernel function H(z,w) which is a reproducing kernel for Ap(Ω) and we prove that the associated integral operator H is bounded in Lp(Ω).
@article{urn:eudml:doc:41235, title = {D\'ecomposition atomique des espaces de Bergman.}, journal = {Publicacions Matem\`atiques}, volume = {39}, year = {1995}, pages = {285-299}, mrnumber = {MR1370887}, zbl = {0852.46047}, language = {fr}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41235} }
Symesak, Frédéric. Décomposition atomique des espaces de Bergman.. Publicacions Matemàtiques, Tome 39 (1995) pp. 285-299. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41235/