Open AccessAtomic decompositions in weighted Bergman spaces of analytic functions on strictly pseudoconvex domains
Author(s) -
Miloš Arsenović
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2108545a
Subject(s) - mathematics , bounded function , domain (mathematical analysis) , boundary (topology) , bergman kernel , pure mathematics , analytic function , bergman space , pseudoconvex function , decomposition , mathematical analysis , geometry , chemistry , organic chemistry , convex optimization , regular polygon , convex combination
We construct an atomic decomposition of the weighted Bergman spaces Ap?(D) (0 -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.