Filomat 2021 Volume 35, Issue 8, Pages: 2545-2563
https://doi.org/10.2298/FIL2108545A
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Atomic decompositions in weighted Bergman spaces of analytic functions on strictly pseudoconvex domains
Arsenović Miloš 
(University of Belgrade, Department of Mathematics), arsenovic@matf.bg.ac.rs
We construct an atomic decomposition of the weighted Bergman spaces Apα(D)
(0 < p ≤ 1, α > -1) of analytic functions on a bounded strictly
pseudoconvex domain D in Cn with smooth boundary. The atoms used are atoms
in the real-variable sense.
Keywords: Bergman spaces, pseudoconvex domains, atomic decomposition