Atomic decomposition of Bergman spaces.

Frédéric Symesak

Publicacions Matemàtiques (1995)

  • Volume: 39, Issue: 2, page 285-299
  • ISSN: 0214-1493

Abstract

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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).

How to cite

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Symesak, Frédéric. "Décomposition atomique des espaces de Bergman.." Publicacions Matemàtiques 39.2 (1995): 285-299. <http://eudml.org/doc/41235>.

@article{Symesak1995,
author = {Symesak, Frédéric},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de funciones holomorfas; Dominios pseudoconvexos; Funciones de variable compleja; atomic decomposition; weighted Bergman spaces; reproducing kernel; integral operator},
language = {fre},
number = {2},
pages = {285-299},
title = {Décomposition atomique des espaces de Bergman.},
url = {http://eudml.org/doc/41235},
volume = {39},
year = {1995},
}

TY - JOUR
AU - Symesak, Frédéric
TI - Décomposition atomique des espaces de Bergman.
JO - Publicacions Matemàtiques
PY - 1995
VL - 39
IS - 2
SP - 285
EP - 299
LA - fre
KW - Espacios de funciones holomorfas; Dominios pseudoconvexos; Funciones de variable compleja; atomic decomposition; weighted Bergman spaces; reproducing kernel; integral operator
UR - http://eudml.org/doc/41235
ER -

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