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Related papers: Some estimates for p-adic rough multilinear Hausdo…

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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

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, 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, 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

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, 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…

Functional Analysis · Mathematics 2019-11-22 Naqash Sarfraz , Ferit Gurbuz

The present article focuses on the bounds of weighted multilinear $p$-adic Hardy operators on the product of Herz spaces and Morrey-Herz spaces. The corresponding norm on both the cases are also obtain.

Classical Analysis and ODEs · Mathematics 2020-03-05 Amjad Hussain , Naqash Sarfraz

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 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

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…

Functional Analysis · Mathematics 2018-11-26 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

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

This paper showed that fractional p-adic Hardy operator norms in p-adic Herz-Morrey spaces with varying exponents are bounded. Corresponding commutator operators are also estimated for p-adic variable central bounded mean oscillations…

Classical Analysis and ODEs · Mathematics 2024-02-27 Samia Bashir , Amjad Hussain

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

Classical Analysis and ODEs · Mathematics 2020-02-18 Amna Ajaib , Amjad Hussain

A general class of weighted multilinear Hardy-Ces\`aro operators that acts on the product of Lebesgue spaces and central Morrey spaces. Their sharp bounds are also obtained. In addition, we obtain sufficient and necessary conditions on…

Classical Analysis and ODEs · Mathematics 2015-05-05 Ha Duy Hung , Luong Dang Ky

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…

Classical Analysis and ODEs · Mathematics 2018-08-14 Nguyen Minh Chuong , Dao Van Duong , Kieu Huu Dung

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…

Functional Analysis · Mathematics 2025-10-01 Ronghui Liu , Qi Zhang

Via the new weight $A_{\vec p}^{\infty}(\varphi)$ and the new $BMO$ function, the authors introduce a new class of multilinear square operators $T$ with generalized kernels. The boundedness of multilinear commutators and multilinear…

Functional Analysis · Mathematics 2024-02-27 Chunliang Li , Shuhui Yang , Yan Lin

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…

Functional Analysis · Mathematics 2025-02-20 Shengrong Wang , Pengfei Guo , Jingshi Xu

We prove that for operators satistying weighted inequalities with $A_p$ weights the boundedness on a certain class of Morrey spaces holds with weights of the form $|x|^\alpha w(x)$ for $w\in A_p$. In the case of power weights the shift with…

Functional Analysis · Mathematics 2019-10-30 Javier Duoandikoetxea , Marcel Rosenthal

This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.

Classical Analysis and ODEs · Mathematics 2020-10-05 Weichao Guo , Yongming Wen , Huoxiong Wu , Dongyong Yang
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