Weighted composition operators from weighted Bergman spaces with Bekolle weights to Bloch-type spaces

被引：3

作者：

Stevic, Stevo ^{[1
,2
]}

Sharma, Ajay K. ^{[3
]}

机构：

[1] Serbian Acad Sci, Math Inst, Beograd 11000, Serbia

[2] King Abdulaziz Univ, Dept Math, Operator Theory & Applicat Res Grp, Jeddah 21589, Saudi Arabia

[3] Shri Mata Vaishno Devi Univ, Sch Math, Katra 182320, JK, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

weighted composition operator; Bergman-type spaces; Bekolle weight; normal weight; Bloch-type spaces; ESSENTIAL NORMS; H-INFINITY; DIFFERENTIATION; NEVANLINNA; PRODUCTS;

D O I：

10.1186/s13660-015-0858-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let sigma be a Bekolle weight function and. be a weight function. In this paper, we characterize the boundedness and compactness of weighted composition operators acting from Bergman-type spaces A(p)(sigma) to Bloch-type spaces B-v and B-v,B-0, considerably extending some results in the literature.

引用

页数：14

共 31 条

[1] WEIGHTED INEQUALITIES FOR THE BERGMAN PROJECTION IN THE UNIT-SPHERE CN [J].

BEKOLLE, D .

STUDIA MATHEMATICA, 1982, 71 (03) :305-323

[2] Weighted Composition Operators from the Minimal Mobius Invariant Space into the Bloch Space [J].

Colonna, Flavia ;

Li, Songxiao .

MEDITERRANEAN JOURNAL OF MATHEMATICS, 2013, 10 (01) :395-409

[3] New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space [J].

Colonna, Flavia .

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2013, 11 (01) :55-73

[4] Discretizations of integral operators and atomic decompositions in vector-valued weighted Bergman spaces [J].

Constantin, Olivia .

INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (04) :523-554

[5] Carleson embeddings and some classes of operators on weighted Bergman spaces [J].

Constantin, Olivia .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 365 (02) :668-682

[6] WEIGHTED COMPOSITION OPERATORS BETWEEN H∞ AND α-BLOCH SPACES IN THE UNIT BALL [J].

Li, Songxiao ;

Stevic, Stevo .

TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (07) :1625-1639

[7] Generalized composition operators on Zygmund spaces and Bloch type spaces [J].

Li, Songxiao ;

Stevic, Stevo .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) :1282-1295

[8] Weighted composition operators from H∞ to the Bloch space on the polydisc [J].

Li, Songxiao ;

Stevic, Stevo .

ABSTRACT AND APPLIED ANALYSIS, 2007,

[9] Weighted composition operators from Bergman-type spaces into Bloch spaces [J].

Li, Songxiao ;

Stevic, Stevo .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (03) :371-385

[10]

Li SX, 2007, J COMPUT ANAL APPL, V9, P195

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