We give characterizations for Bergman-Orlicz spaces with standard weights via a Lipschitz type condition in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As an application, we obtain the boundeness of the symmetric lifting operator from Bergman-Orlicz spaces on the unit disk into Bergman-Orlicz spaces on the bidisk.
Rumeng MA
,
Jingshi XU
. LIPSCHITZ TYPE CHARACTERIZATIONS FOR BERGMAN-ORLICZ SPACES AND THEIR APPLICATIONS[J]. Acta mathematica scientia, Series B, 2020
, 40(5)
: 1445
-1458
.
DOI: 10.1007/s10473-020-0516-8
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