Two Classes of Integral Operators over the Siegel Upper Half-Space

Liu Congwen; Liu Yi; Hu Pengyan; Zhou Lifang

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Two Classes of Integral Operators over the Siegel Upper Half-Space

机译：Siegel上半空间上的两类积分运算符

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摘要

We determine exactly when two classes of integral operators are bounded on weighted Lp spaces over the Siegel upper half-space.

机译：我们确定两个类积分运算符在Siegel上半空间上的加权LP空间上界定时。

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来源
《Complex analysis and operator theory》 |2019年第3期|共17页
作者
Liu Congwen; Liu Yi; Hu Pengyan; Zhou Lifang;
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作者单位

Univ Sci &

Technol China Sch Math Sci Hefei 230026 Anhui Peoples R China;

Univ Sci &

Technol China Sch Math Sci Hefei 230026 Anhui Peoples R China;

Shenzhen Univ Coll Math &

Stat Shenzhen 518060 Guangdong Peoples R China;

Huzhou Univ Dept Math Huzhou 313000 Zhejiang Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Siegel upper half-space; Bergman type operators; Weighted L-p spaces; Boundedness;

机译：Siegel上半空间;Bergman型运营商;加权L-P空间;有界;

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专利

1. Two Classes of Integral Operators over the Siegel Upper Half-Space [J] . Liu Congwen, Liu Yi, Hu Pengyan, Complex analysis and operator theory . 2019,第3期

机译：Siegel上半空间上的两类积分运算符
2. Paley-Wiener Theorems on the Siegel Upper Half-Space [J] . Arcozzi Nicola, Monguzzi Alessandro, Peloso Marco M., The journal of fourier analysis and applications . 2019,第4期

机译：Siegel上半空间的Paley-Wiener定理
3. Norm Estimates for the Bergman and Cauchy-Szego Projections Over the Siegel Upper Half-Space [J] . Liu Congwen Constructive approximation: An international journal for approximations and expansions . 2018,第3期

机译：博格曼和Cauchy-Szego投影对Siegel上半空间的预测
4. An Explicit Asymptotic Model for the Surface Wave in a Viscoelastic Half-Space Based on Applying Rabotnov's Fractional Exponential Integral Operators [C] . M. V. Wilde, N. V. Sergeeva International Scientific Conference on Mechanics . 2018

机译：基于应用Rabotnov的分数指数整体算子的粘弹性半空间中表面波的显式渐近模型
5. L(p) estimates for some classes of radon transforms and oscillatory integral operators [D] . Yang, Chan Woo 2002

机译：某些类ra变换和振荡积分算子的L（p）估计
6. Inversion problem for singular integral operators: C*-approach [O] . Alexander Dynin 1978

机译：奇异积分算子的反演问题：C *-方法
7. A class of integral operators over the Siegel upper half-space [O] . Liu, Congwen, Liu, Yi, Hu, Pengyan, 2017

机译：siegel上半空间上的一类积分算子

Two Classes of Integral Operators over the Siegel Upper Half-Space

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