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In this paper, we will prove the sharp bounds of various operators in mixed radial angular spaces on Heisenberg groups. It mainly includes the boundedness of linear transformation eigenvalue operator in mixed radial angular space; Sharp…

Classical Analysis and ODEs · Mathematics 2023-07-06 Xiang Li , Huan Liang , Shaozhuang Xu , Dunyan Yan

In this paper, we are devoted to studying some sharp bounds for Hardy type operators on mixed radial-angular type function spaces. In addition, we will establish the sharp weak-type estimates for the fractional Hardy operator and its…

Functional Analysis · Mathematics 2024-02-06 Ronghui Liu , Yanqi Yang , Shuangping Tao

The purpose of this paper is to establish some neccessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some two weighted function spaces such as the two…

Functional Analysis · Mathematics 2019-03-12 Nguyen Minh Chuong , Dao Van Duong , Nguyen Duc Duyet

In this paper, we will study $n$-dimensional Hardy operator and its dual in mixed radial-angular spaces on Heisenberg groups and obtain their sharp bounds by using the rotation method. Furthermore, the sharp bounds of $n$-dimensional…

Classical Analysis and ODEs · Mathematics 2023-04-25 Zhongci Hang , Xiang Li , Dunyan Yan

The aim of the present paper is to give necessary and sufficient conditions for the boundedness of a general class of multilinear Hausdorff operators that acts on the product of some weighted function spaces with variable exponent such as…

Classical Analysis and ODEs · Mathematics 2017-09-26 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, we establish the boundedness of the commutators of multilinear Hausdorff operators on the product of some weighted Morrey-Herz type spaces with variable exponent with their symbols belong to both Lipschitz space and central…

Classical Analysis and ODEs · Mathematics 2017-10-05 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, by using the rotation method, we calculate that the sharp bound for $n$-dimensional Hardy operator $\mathcal{H}$ on mixed radial-angular spaces. Furthermore, we also obtain the sharp bound for $n$-dimensional fractional Hardy…

Classical Analysis and ODEs · Mathematics 2022-08-01 Mingquan Wei , Dunyan Yan

The aim of this paper is to introduce and study the boundedness of a new class of p-adic rough multilinear Hausdorff operators on the product of Herz, central Morrey and Morrey-Herz spaces with power weights and Muckenhoupt weights. We also…

Functional Analysis · Mathematics 2019-05-01 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, we give necessary and sufficient conditions for the boundedness of rough Hausdorff operators on Herz, Morrey and Morrey-Herz spaces with absolutely homogeneous weights. Especially, the estimates for operator norms in each…

Functional Analysis · Mathematics 2018-07-25 Nguyen Minh Chuong , Dao Van Duong , Nguyen Duc Duyet

We give the sharp conditions for boundedness of Hausdorff operators on certain modulation and Wiener amalgam spaces.

Classical Analysis and ODEs · Mathematics 2018-11-14 Guoping Zhao , Dashan Fan , Weichao Guo

In this paper, we establish the sharp boundedness of p-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the…

Functional Analysis · Mathematics 2018-10-17 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, we obtained the sharp bounds for $m$-linear $n$-dimensional Hardy-Littlewood-P\'{o}lya operator and Hilbert operator in two power weighted Morrey space on Heisenberg group.

Classical Analysis and ODEs · Mathematics 2023-05-17 Xiang Li , Zhongci Hang , Zhanpeng Gu , Dunyan Yan

In this paper, we introduce a type of weighted multilinear Hardy operators and obtain their sharp bounds on the product of Lebesgue spaces and central Morrey spaces. In addition, we obtain sufficient and necessary conditions of the weight…

Functional Analysis · Mathematics 2014-09-23 Zun Wei Fu , Shu Li Gong , Shan Zhen Lu , Wen Yuan

We study the boundedness of some sublinear operators on weighted Morrey spaces under certain size conditions. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator,…

Functional Analysis · Mathematics 2012-08-24 Zunwei Fu , Shanzhen Lu , Shaoguang Shi

In this paper, we will obtain the sharp constant for multilinear integral operator on Heisenberg group Lebesgue space which is based on the Stein-Weiss lemma, the boundedness for multilinear integral operator on Heisenberg group $A_p$…

Classical Analysis and ODEs · Mathematics 2023-06-27 Xiang Li , Xi Cen , Zunwei Fu , Zhongci Hang

In this paper, we study the high-dimensional Hausdorff operators, defined via a general linear mapping $A$, and their commutators on the weighted Morrey spaces in the setting of the Heisenberg group. Particularly, under some assumption on…

Classical Analysis and ODEs · Mathematics 2018-01-01 Jianmiao Ruan , Dashan Fan , Qingyan Wu

In this paper, we will study the boundedness properties of multilinear Calderon--Zygmund operators and multilinear fractional integrals on products of weighted Morrey spaces with multiple weights.

Classical Analysis and ODEs · Mathematics 2013-03-20 Hua Wang , Wentan Yi

The aim of this paper is to study the sharp bounds of rough Hausdorff operators on the product of Herz, central Morrey and Morrey-Herz spaces with both power weights and Muckenhoupt weights on the Heisenberg group. Especially, by applying…

Functional Analysis · Mathematics 2018-08-09 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, the boundedness of some sublinear operators is proved on homogeneous Herz-Morrey spaces with variable exponent.

Functional Analysis · Mathematics 2014-04-08 Jianglong Wu

This paper is devoted to studying some mixed radial-angular integrabilities for various types of Hausdorff operators and commutators

Functional Analysis · Mathematics 2024-04-30 Ronghui Liu , Guanghui Lu
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