Weighted Composition Lambert-Type Operators on L~p Spaces

Y. Estaremi; M. R. Jabbarzadeh

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Weighted Composition Lambert-Type Operators on L~p Spaces

机译：L〜p空间上的加权合成Lambert型算子

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摘要

In this paper boundedness of a weighted composition Lambert-type operator T = M_wEM_uC_φ acting between two different L~p(Σ) spaces is characterized using some properties of conditional expectation operator. Moreover, we establish criteria for hyponormality for these types of operators on L~2(Σ).

机译：在本文中，使用条件期望算子的某些性质来刻画在两个不同的L〜p（Σ）空间之间起作用的加权合成Lambert型算子T =M_wEM_uC_φ的有界性。此外，我们为L〜2（Σ）上的这些类型的算子建立了超正规性的标准。

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《Mediterranean journal of mathematics》 |2014年第3期|共10页
作者
Y. Estaremi; M. R. Jabbarzadeh;
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正文语种 eng
中图分类数学;
关键词
Conditional expectation; multiplication operators; composition operators; hyponormal operators.;

机译：条件期望;乘法运算符;组合运算符;伪正则运算符。;

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专利

1. Weighted Composition Lambert-Type Operators on L~p Spaces [J] . Y. Estaremi, M. R. Jabbarzadeh Mediterranean journal of mathematics . 2014,第3期

机译：L〜p空间上的加权合成Lambert型算子
2. Spectrum of weighted composition operators part IV spectrum and essential spectra of weighted composition operators in spaces of smooth functions on [0,1] [J] . Kitover A. K. Positivity . 2017,第3期

机译：加权组成算子的光谱在平稳函数空间中的加权组成算子的第IV频谱和基本光谱[0,1]
3. Essential Norm of Weighted Composition Operators and Difference of Composition Operators Between Standard Weighted Bergman Spaces [J] . Lindstrom Mikael, Saukko Erno Complex analysis and operator theory . 2015,第6期

机译：加权合成算子的基本范数与标准加权Bergman空间之间的合成算子之差
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. Compact differences of weighted composition operators on the weighted Bergman spaces [O] . Maocai Wang, Xingxing Yao, Fen Chen -1

机译：加权Bergman空间上加权复合算子的紧致差。
7. Spectrum of Weighted Composition Operators Part IV: Spectrum and essential spectra of weighted composition operators in spaces of smooth functions on $[0,1]$ [O] . Kitover, Arkady 2016

机译：加权复合算子的谱第四部分：谱和谱光滑空间中加权复合算子的本质谱函数$ [0,1] $
8. Conservative and Dissipative Parts of Non-Measure Preserving Weighted Composition Operators. [R] . Quinn, J. 1982

机译：非度量保持加权复合算子的守恒和耗散部分。

Weighted Composition Lambert-Type Operators on L~p Spaces

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