ON DISTANCE ESTIMATES AND ATOMIC DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONS ON STRICTLY PSEUDOCONVEX DOMAINS

被引：6

作者：

Arsenovic, Milos ^{[1
]}

Shamoyan, Romi F. ^{[2
]}

机构：

[1] Bryansk Univ, Bryansk, Russia

[2] Univ Belgrade, Fac Math, Belgrade 11000, Serbia

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2015年 / 52卷 / 01期

关键词：

Bergman spaces; Bloch space; pseudoconvex domains; extremal problems; atomic decomposition; WEIGHTED BERGMAN SPACES; TOEPLITZ-OPERATORS; BESOV-SPACES; EXTENSIONS;

D O I：

10.4134/BKMS.2015.52.1.085

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some sharp extremal distance results for functions in various spaces of analytic functions on bounded strictly pseudoconvex domains with smooth boundary. Also, we obtain atomic decompositions in multifunctional Bloch and weighted Bergman spaces of analytic functions on strictly pseudoconvex domains with smooth boundary, which extend known results in the classical case of a single function.

引用

页码：85 / 103

页数：19

共 21 条

[1] Toeplitz operators and Carleson measures in strongly pseudoconvex domains [J].