ON TRACES OF ANALYTIC Qp TYPE SPACES, MIXED NORM SPACES AND HARMONIC BERGMAN CLASSES ON CERTAIN POLYDOMAINS

被引：4
|
作者：
Shamoyan, Romi F. [1 ]
Mihic, Olivera R. [2 ]
机构：
[1] Bryansk Univ, Bryansk, Russia
[2] Fak Org Nauka, Belgrade, Serbia
来源：
FILOMAT | 2011年 / 25卷 / 01期
关键词：
polyball; Bergman metric ball; mixed norm classes; traces of holomorphic functions; Bergman representation formula;
D O I：
10.2298/FIL1101001S
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce new Q(p) type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of R-n and products of R-+(n+1) halfspaces will be also provided.
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页码：1 / 19
页数：19
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