Fredholm Weighted Generalized Composition Operators

被引：1
|
作者：
Datt, Gopal [1 ]
Jain, Mukta [1 ]
机构：
[1] Univ Delhi, Dept Math, PGDAV Coll, Delhi, India
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2021年 / 15卷 / 03期
关键词：
Generalized multiplication operator; Generalized composition operator; Weighted generalized composition operator; Weighted Hardy space; Invariant subspace;
D O I：
10.1007/s11785-021-01087-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, properties of the self map on D, the open unit disc, and complex valued mapping on D are obtained when the induced kth-order weighted generalized composition operator on weighted Hardy space is Fredholm. We also describe the action of the adjoint of generalized multiplication, generalized composition and kth-order weighted generalized composition operators on the derivative evaluation kernel functions, which in turn provide some invariant subspaces for these operators.
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页数：10
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