THE ATOMIC DECOMPOSITION OF HARMONIC BERGMAN FUNCTIONS, DUALITIES AND TOEPLITZ OPERATORS

被引：1

作者：

Lee, Young Joo ^{[1
]}

机构：

[1] Chonnam Natl Univ, Dept Math, Kwangju 500757, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 02期

关键词：

atomic decomposition; harmonic Bergman space; Toeplitz operator; LUECKING-TYPE SUBSPACE; SPACES; UNIT;

D O I：

10.4134/BKMS.2009.46.2.263

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On the setting of the unit ball of R(n), we consider a Banach space of harmonic functions motivated by the atomic decomposition in the sense of Coifman and Rochberg [5]. First we identify its dual (resp. predual) space with certain harmonic function space of (resp. vanishing) logarithmic growth. Then we describe these spaces in terms of boundedness and compactness of certain Toeplitz operators.

引用

页码：263 / 279

页数：17

共 13 条

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