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相关论文: Weighted norm inequalities for rough Hausdorff ope…

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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…

泛函分析 · 数学 2018-07-25 Nguyen Minh Chuong , Dao Van Duong , Nguyen Duc Duyet

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…

泛函分析 · 数学 2019-05-01 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this article, we study the commutators of Hausdor? operator and establish their boundedness on weighted Herz space in the setting of Heisenberg group.

经典分析与常微分方程 · 数学 2020-02-18 Amna Ajaib , Amjad Hussain

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…

经典分析与常微分方程 · 数学 2018-01-01 Jianmiao Ruan , Dashan Fan , Qingyan Wu

In this paper, we prove the boundedness of matrix Hausdorff operators and rough Hausdorff operators in the two weighted Herz-type Hardy spaces associated with both power weights and Muckenhoupt weights. By applying the fact that the…

经典分析与常微分方程 · 数学 2018-08-14 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

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…

泛函分析 · 数学 2018-10-17 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, boundedness of Hausdorff operator on weak central Morrey space is obtained. Furthermore, we investigate the weak bounds of p- adic fractional Hausdorff Operator on weighted p-adic weak Lebesgue Space. We also obtain the…

泛函分析 · 数学 2019-11-22 Naqash Sarfraz , Ferit Gurbuz

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…

经典分析与常微分方程 · 数学 2017-10-05 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

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…

泛函分析 · 数学 2019-03-12 Nguyen Minh Chuong , Dao Van Duong , Nguyen Duc Duyet

In this paper, we study Hausdorff operator $\mathcal{H}_\mu$ on a large class of weighted mixed norm Fock spaces $F_\phi^{p,q}$ for $1\leq p,q\leq\infty$. The boundedness and compactness of $\mathcal{H}_\mu$ on $F_\phi^{p,q}$ are…

泛函分析 · 数学 2024-10-11 Yongqing Liu

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…

经典分析与常微分方程 · 数学 2017-09-26 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

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…

泛函分析 · 数学 2014-09-23 Zun Wei Fu , Shu Li Gong , Shan Zhen Lu , Wen Yuan

In this paper, we first give some new characterizations of Muckenhoupt type weights through establishing the boundedness of maximal operators on the weighted Lorentz and Morrey spaces. Secondly, we establish the boundedness of sublinear…

泛函分析 · 数学 2018-11-26 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

In this paper, we will use the conclusions and methods in \cite{1} to obtain the sharp bounds for a class of integral operators with the nonnegative kernels in weighted-type spaces on Heisenberg group. As promotions, the sharp bounds of…

经典分析与常微分方程 · 数学 2023-04-19 Xiang Li , Zhanpeng Gu , Dunyan Yan , Zhongci Hang

In this paper, we study sharp bound on higher-dimensional Lebesgue product space for Hardy operator on Heisenberg group, the constants of sharp bounds are obtained. In addition, we also give the boundedness for weighted Hardy operator and…

经典分析与常微分方程 · 数学 2023-05-16 Zhongci Hang , Wenfeng Liu , Xiang Li , Dunyan Yan

For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space $H^1$ by means of atomic decomposition.

经典分析与常微分方程 · 数学 2008-02-06 Elijah Liflyand

In this paper, we establish sharp bounds for the multilinear Hausdorff operators on mixed radial-angular local Morrey-type spaces, and we also give ralated applications of these operators. Meanwhile, sharp bounds for the multilinear…

泛函分析 · 数学 2025-10-01 Ronghui Liu , Qi Zhang

In this paper, we obtain the boundedness of $m$th order commutators generated by the $n$-dimensional fractional Hardy operator with rough kernel and its adjoint operator with BMO functions on two weighted grand Herz-Morrey spaces with…

泛函分析 · 数学 2025-02-20 Shengrong Wang , Pengfei Guo , Jingshi Xu

The aim of this note is to give the boundedness conditions for Hausdorff operators on Hardy spaces $H^{1}$ with the norm defined via $(1,q)$ atoms over homogeneous spaces of Lie groups with doubling property and to apply results we obtain…

泛函分析 · 数学 2021-02-22 A. R. Mirotin

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 $A_p$…

经典分析与常微分方程 · 数学 2023-06-27 Xiang Li , Xi Cen , Zunwei Fu , Zhongci Hang
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