HARMONIC BLOCH FUNCTION SPACES AND THEIR COMPOSITION OPERATORS

被引：0

作者：

Esmaeili, Somayye ^{[1
]}

Estaremi, Yousef ^{[2
]}

Ebadian, Ali ^{[3
]}

机构：

[1] Payame Noor Univ, Dept Math, POB 19395-3697, Tehran, Iran

[2] Golestan Univ, Dept Math & Comp Sci, Gorgan, Iran

[3] Urmia Univ, Dept Math, Orumiyeh, Iran

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 04期

关键词：

Composition operator; Bloch spaces; harmonic function. 2010 Mathematics Subject Classification. . Primary;

D O I：

10.46793/KgJMat2404.535E

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In this paper we characterize some basic properties of composition operators on the spaces of harmonic Bloch functions. First we provide some equivalent conditions for boundedness and compactness of composition operators. In the sequel we investigate closed range composition operators. These results extends the similar results that were proven for composition operators on the Bloch spaces.

引用

页码：535 / 546

页数：12

共 11 条

[1]

Bourdon P., 1992, Graduate Texts in Mathematics, V137

[2] Boundedness from below of composition operators on α-Bloch spaces [J].

Chen, Huaihui ;

Gauthier, Paul .

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 2008, 51 (02) :195-204

[3] THE BLOCH CONSTANT OF BOUNDED HARMONIC-MAPPINGS [J].

COLONNA, F .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1989, 38 (04) :829-840

[4] Weighted composition operators in weighted Banach spaces of analytic functions [J].

Contreras, MD ;

Hernandez-Diaz, AG .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 2000, 69 :41-60

[5]

Cowen CarlC, 1995, Studies in Advanced Mathematics

[6]

Duren P., 2004, Harmonic Mapping in the Plane

[7] Sampling sets and closed range composition operators on the Bloch space [J].

Ghatage, P ;

Zheng, DC ;

Zorboska, N .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (05) :1371-1377

[8]

Lou Z., 2003, Analysis (Munich), V23, P81

[9] COMPACT COMPOSITION OPERATORS ON THE BLOCH SPACE [J].

MADIGAN, K ;

MATHESON, A .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 347 (07) :2679-2687

[10]

Shapiro J.H., 1993, Universitext: Tracts in Mathematics

← 1 2 →