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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

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…

泛函分析 · 数学 2018-08-09 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…

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

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

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

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

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, 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 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

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 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

We characterize the spectrum of Hausdorff operators on weighted Bergman and power weighted Hardy spaces of the upper half-plane.

泛函分析 · 数学 2026-03-10 Carlo Bellavita , Georgios Stylogiannis

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

This paper is devoted to studying the boundedness of multilinear operartors and their commutators on generalized weighted Morrey spaces, which includes multilinear fractional maximal operator and multilinear fractional integral operator.…

经典分析与常微分方程 · 数学 2023-06-27 Xi Cen , Qianjun He , Xiang Li , Dunyan Yan

In this paper, we first introduce some new Morrey type spaces containing generalized Morrey space and weighted Morrey space as special cases. Then we discuss the strong type and weak type estimates for a class of Calder\'on--Zygmund type…

经典分析与常微分方程 · 数学 2016-03-15 Hua Wang

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

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

Let $T$ be a Calder\'on-Zygmund singular integral operator. In this paper, we will show some weighted boundedness properties of commutator $[b,T]$ on the weighted Morrey spaces $L^{p,\kappa}(w)$ under appropriate conditions on the weight…

经典分析与常微分方程 · 数学 2012-03-19 Hua Wang

Let $\mathcal L=-\Delta+V$ be a Schr\"odinger operator on $\mathbb R^d$, $d\geq3$, where $\Delta$ is the Laplacian operator on $\mathbb R^d$ and the nonnegative potential $V$ belongs to the reverse H\"older class $RH_s$ for $s\geq d/2$. For…

经典分析与常微分方程 · 数学 2018-02-08 Hua Wang

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.

经典分析与常微分方程 · 数学 2023-05-17 Xiang Li , Zhongci Hang , Zhanpeng Gu , Dunyan Yan
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