Generalized Stević-Sharma Type Operators on Spaces of Fractional Cauchy Transforms

被引:0
|
作者
Abbasi, Ebrahim [1 ]
Hassanlou, Mostafa [2 ]
机构
[1] Islamic Azad Univ, Dept Math, Mahabad Branch, Mahabad, Iran
[2] Khoy Urmia Univ Technol, Engn Fac, Orumiyeh, Iran
关键词
Boundedness; compactness; generalized Stevic-Sharma type operators; weighted Zygmund space; fractional Cauchy transform; WEIGHTED COMPOSITION OPERATORS; INTEGRAL-TRANSFORMS; DIFFERENCE; FAMILIES;
D O I
10.1007/s00009-023-02583-z
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let D = {z is an element of C :|z| < 1} and alpha > 0. Let F-alpha be the collection of all holomorphic functions defined for z is an element of D by integrating the kernel (1-zeta<overline>z)(-alpha) against a complex valued measure on the T = partial derivative D. Considering the generalized Stevic-Sharma type operator on F-alpha, we find an estimate for the essential norm of the operator.
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页数:11
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