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25 p, 436.1 KB Atomic decomposition of real-variable type for Bergman spaces in the unit ball of Cn / Chen, Zeqian (Chinese Academy of Sciences. Wuhan Institute of Physics and Mathematics) ; Ouyang, Wei (Chinese Academy of Sciences. Institute of Geodesy and Geophysics (Wuhan, Xina))
In this paper we show that, for any 0 < p _ 1 and _ > 1, every (weighted) Bergman space Ap _(Bn) admits an atomic decomposition of real-variable type. More precisely, for each f 2 Ap _(Bn) there exist a sequence of (p;1)_-atoms ak with compact support and a scalar sequence f_kg such that f = P k _kak in the sense of distribution and Pk j_kjp . [...]
2014 - 10.5565/PUBLMAT_58214_18
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 353-377  

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