Rough Hausdorff operator and its commutators on the Heisenberg group

Kieu Huu Dung; Dao Van Duong; Nguyen Minh Chuong

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Rough Hausdorff operator and its commutators on the Heisenberg group

机译：粗糙的豪斯多夫算子及其换向片上海森堡组

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摘要

In this paper, we discuss some sufficient conditions for the boundedness of rough Hausdorff operators on the central Money and Herz spaces with the Muckenhoupt weights on the Heisenberg group. The boundedness for the commutators of rough Hausdorff operators with symbols in weighted CMO space on such spaces is given as well.

机译：在本文中,我们讨论一些足够了粗糙的豪斯多夫的有界性条件运营商在中央资金和赫兹空间与海森堡Muckenhoupt权重组。粗糙的豪斯多夫运营商与符号加权CMO空间等空间了好。

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来源
《Advances in operator theory》 |2021年第3期|共19页
作者
Kieu Huu Dung; Dao Van Duong; Nguyen Minh Chuong;
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作者单位

Van Lang Univ, Fac Basic Sci, Ho Chi Minh City, Vietnam;

Mientrung Univ Civil Engn, Sch Math, Tuy Hoa, Phu Yen, Vietnam;

Vietnamese Acad Sci & Technol, Inst Math, Hanoi, Vietnam;

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原文格式 PDF
正文语种英语
中图分类
关键词
commutators; Rough; Signs and symbols;

机译：换向片;粗糙的标志和符号;

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1. ROUGH OPERATORS AND COMMUTATORS ON HOMOGENEOUS WEIGHTED HERZ SPACES [J] . Jiang Yinsheng, Liu Mingju 分析、理论与应用（英文版） . 2002,第001期
2. Commutators of Singular Integral Operators Related to Magnetic Schr(o)dinger Operators [J] . Wanqing Ma, Yu Liu 分析、理论与应用（英文版） . 2018,第001期
3. L p Bounds for the Commutators of Rough Singular Integrals Associated with Surfaces of Revolution [J] . Zhendong Niu, Kai Zhu∗, Yanping Chen 分析、理论与应用（英文版） . 2015,第002期
4. θ型Calderon-Zygmumd型算子及其交换子在非齐型Morrey空间中的有界性 The Boundedness of θ-Calderon-Zygmumd Operators and Its Commutators on Non-homogeneous Morrey Spaces [J] . Pure Mathematics . 2011,第1期

机译：θ型Calderon-Zygmumd型算子及其交换子在非齐型Morrey空间中的有界性 The Boundedness of θ-Calderon-Zygmumd Operators and Its Commutators on Non-homogeneous Morrey Spaces
5. Hausdorff operators on holomorphic Hardy spaces and applications [J] . Ha Duy Hung, Luong Dang Ky, Thai Thuan Quang Proceedings, Section A. Mathematics . 2020,第Pta3期

机译：Hausdorff Operators上的Holomorphic Hardy Spaces和Applications
6. The Weighted and Estimates for Fractional Hausdorff Operators on the Heisenberg Group [J] . Guohua Zhang, Qianqian Li, Qingyan Wu Journal of Function Spaces . 2020,第1期

机译：Heisenberg组分数Hausdorff运营商的加权和估计
7. On the monotonicity property of the Monge-Ampere type operator of convex functions on the anisotropic Heisenberg group [C] . Hujun LI International Conference on Industrial Mechatronics and Automation . 2010

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8. Spectral theory of unitary operators [D] . Parmely, Anna C. 2005

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9. On rough road of hypoplastic left heart syndrome after Norwood procedure [O] . Chiara Marrone, Lorenzo Galletti 2019

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10. Haar Shifts, Commutators, and Hankel Operators [O] . Lacey, Michael T. 2008

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11. Theta-Operator und Bers-Raeume (Theta Operator and Bers Spaces) [R] . Daase, D. 1986

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Rough Hausdorff operator and its commutators on the Heisenberg group

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