Volterra Type and Weighted Composition Operators on Weighted Fock Spaces

Mengestie T.

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Volterra Type and Weighted Composition Operators on Weighted Fock Spaces

机译：加权Fock空间上的Volterra类型和加权复合算子

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摘要

Bounded and compact product of Volterra type integral and composition operators acting between weighted Fock spaces are described. We also estimate the norms of these operators in terms of Berezin type integral transforms on the complex plan ?. All our results are valid for weighted composition operators acting on the class of Fock spaces considered under appropriate interpretation of the weights.

机译：描述了在加权的Fock空间之间起作用的Volterra型积分和组合算子的有界且紧凑的乘积。我们还根据复杂计划上的Berezin型积分变换来估计这些算子的范数。我们所有的结果对于在适当解释权重的情况下作用于Fock空间类别的加权合成算子均有效。

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《Integral equations and operator theory》 |2013年第1期|共14页
作者
Mengestie T.;
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正文语种 eng
中图分类微分方程、积分方程;
关键词
Berezin transform; bounded; Carleson measure; compact; Fock space; Volterra operator; weighted composition operator;

机译：Berezin变换有界Carleson测度紧实Fock空间Volterra算符加权合成算符;

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专利

1. Volterra Type and Weighted Composition Operators on Weighted Fock Spaces [J] . Mengestie T. Integral equations and operator theory . 2013,第1期

机译：加权Fock空间上的Volterra类型和加权复合算子
2. Product of Volterra Type Integral and Composition Operators on Weighted Fock Spaces [J] . Tesfa Mengestie, Bo Berndtsson The Journal of geometric analysis . 2014,第2期

机译：加权Fock空间上Volterra型积分和组合算子的乘积。
3. Volterra composition operators from weighted-type spaces to Bloch-type spaces and mixed norm spaces [J] . Zhu X. Mathematical inequalities & applications . 2011,第1期

机译：Volterra复合算子从加权型空间到Bloch型空间和混合范数空间
4. Weighted composition operators from Banach spaces of analytic functions into Bloch-type spaces [C] . Flavia Colonna, Maria Tjani Workshop on Problems and Recent Methods in Operator Theory . 2017

机译：加权组成算子从分析函数的Banach空间进入Bloch型空间
5. Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-type Banach Spaces [D] . Alyusof, Shams. 2020

机译：来自分析功能空间的加权组成算子进入一类加权型Banach空间
6. Essential norm of some extensions of the generalized composition operators between kth weighted-type spaces [O] . Stevo Stević -1

机译：第k个加权类型空间之间的广义合成算子的某些扩展的基本范数
7. PRODUCT OF VOLTERRA TYPE INTEGRAL AND COMPOSITION OPERATORS ON WEIGHTED FOCK SPACES [O] . Tesfa Mengestie 2016

机译：加权FOCK空间上的Volterra型积分和组合算子的乘积

Volterra Type and Weighted Composition Operators on Weighted Fock Spaces

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