INTEGRAL REPRESENTATIONS AND CONTINUOUS PROJECTORS IN SOME SPACES OF ANALYTIC AND PLURIHARMONIC FUNCTIONS

被引：0

作者：

Oniani, Gigla ^{[1
]}

Tsibadze, Lamara ^{[1
]}

机构：

[1] Kutaisi State Univ, Dept Math, GE-4600 Kutaisi, Georgia

来源：

GEORGIAN MATHEMATICAL JOURNAL | 2008年 / 15卷 / 04期

关键词：

Integral representation; continuous projector; pluriharmonic function; Bergmann class; K-limit; fractional integral;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider analytic and pluriharmonic functions belonging to the classes B-p(Omega) and b(p)(Omega) and defined in the ball Omega subset of C-n. The theorems established in the paper make it possible to obtain some integral representations of functions of the above-mentioned classes. The existence of bounded projectors from the space L(rho, Omega) into the space B-P(Omega) and from the space L(rho, Omega) into the space b(p)(Omega) is proved. Also, consideration is given to the existence of boundary values of fractional integrals of functions of the spaces B-p(Omega) and b(p)(Omega).

引用

页码：739 / 752

页数：14

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