Boundedness and compactness of a new product-type operator from a general space to Bloch-type spaces

被引：33

作者：

Stevic, Stevo ^{[1
,2
]}

Sharma, Ajay K. ^{[3
]}

Krishan, Ram ^{[3
]}

机构：

[1] Serbian Acad Sci, Math Inst, Knez Mihailova 36-3, Belgrade 11000, Serbia

[2] King Abdulaziz Univ, Operator Theory & Applicat Res Grp, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[3] Shri Mata Vaishno Devi Univ, Dept Math, Katra 182320, Jammu & Kashmir, India

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

product-type operator; Bloch-type space; boundedness; compactness; WEIGHTED COMPOSITION OPERATORS; DIFFERENTIATION OPERATORS; BERGMAN SPACES; H-INFINITY; MULTIPLICATION;

D O I：

10.1186/s13660-016-1159-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the boundedness and compactness of a product-type operator, which, among others, includes all the products of the single composition, multiplication, and differentiation operators, from a general space to Bloch-type spaces. We also give some upper and lower bounds for the norm of the operator.

引用

页数：32

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