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Related papers: Boundedness of weighted multilinear $p$-adic Hardy…

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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

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

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 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 article, we establish sharp weak endpoint estimates for $p$-adic fractional Hardy operator. In addition, sharp weak bounds for p-adic Hardy operator on p-adic central Morrey space are also obtained.

Classical Analysis and ODEs · Mathematics 2020-02-20 Amjad Hussain , Naqash Sarfraz , Ferit Gurbuz

It is shown that multilinear Calder\'on-Zygmund operators are bounded on products of Hardy spaces.

Functional Analysis · Mathematics 2007-05-23 Loukas Grafakos , Nigel Kalton

In this paper, by introducing some parameters, we define and study certain $p$-adic Hardy-Littlewood-P\'{o}lya-type integral operators acting on $p$-adic weighted Lebesgue spaces. We completely characterize $L^{q}-L^{r}$ boundedness of…

Functional Analysis · Mathematics 2025-11-21 Jianjun Jin , Huabing Li

We obtain sufficient and necessary conditions on weight functions $s_1(t),\ldots,s_m(t)$ and $\psi(t)$ so that the weighted multilinear Hardy-Ces\`{a}ro operator \[(f_1,\ldots,f_m)\mapsto \int_{[0,1]^n}\left(\prod_{k=1}^nf_k\left(s_k(t)…

Classical Analysis and ODEs · Mathematics 2016-01-22 Nguyen Minh Chuong , Nguyen Thi Hong , Ha Duy Hung

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 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

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

We characterize the sufficient conditions which three weight functions $u$ and $v_{1}, v_{2}$ satisfy ensure the boundedness of the Hardy operator with variable limits on product space. The corresponding bound is explicitly worked out.…

Classical Analysis and ODEs · Mathematics 2018-03-28 Qianjun He , Dunyan Yan

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

In this paper, we prove the boundedness of multilinear fractional integral operators from products of Hardy spaces associated with ball quasi-Banach function spaces into their corresponding ball quasi-Banach function spaces. As…

Functional Analysis · Mathematics 2025-04-01 Jian Tan

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

Functional Analysis · Mathematics 2014-04-08 Jianglong Wu

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 first study the sharp weak estimate for the $p$-adic $n$-dimensional fractional Hardy operator from $L^p$ to $L^{q,\infty}$. Secondly, we study the sharp bounds for the $m$-linear $n$-dimensional $p$-adic integral operator…

Functional Analysis · Mathematics 2025-04-29 Tianyang He , Zhiwen Liu , Ting Yu

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

This paper establishes that multilinear Calder\'on--Zygmund operators and their maximal operators are bounded on Hardy spaces associated with ball quasi-Banach function spaces. Moreover, we also obtain the boundedness of multilinear…

Functional Analysis · Mathematics 2025-04-01 Jian Tan
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