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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

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

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

We get the sharp bound for weak type $(1,1)$ inequality for $n$-dimensional Hardy operator. Moreover, the precise norms of generalized Hardy operators on the type of Campanato spaces are obtained. As applications, the corresponding norms of…

Functional Analysis · Mathematics 2021-11-09 Fayou Zhao , Zunwei Fu , Shanzhen Lu

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 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

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, the authors define the weak Herz spaces and the weak Herz-type Hardy spaces with variable exponent. As applications, the authors establish the boundedness for a large class of singular integral operators including some…

Classical Analysis and ODEs · Mathematics 2020-03-13 Hongbin Wang , Zongguang Liu

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

We study Hardy type inequalities involving mixed cylindrical and spherical weights, for functions supported in cones. These inequalities are related to some singular or degenerate differential operators.

Analysis of PDEs · Mathematics 2023-05-10 Gabriele Cora , Roberta Musina , Alexander I. Nazarov

In this paper we establish sharp weighted bounds (Buckley type theorems) for one{sided maximal and fractional integral operators in terms of one{sided $A_p$ characteristics. Appropriate sharp bounds for strong maximal functions, multiple…

Functional Analysis · Mathematics 2014-03-04 Vakhtang Kokilashvili , Alexander Meskhi , Muhammad Asad Zaighum

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…

Classical Analysis and ODEs · Mathematics 2023-04-19 Xiang Li , Zhanpeng Gu , Dunyan Yan , Zhongci Hang

In this article, we determine sharp Bohr-type radii for certain complex integral operators defined on a set of bounded analytic functions in the unit disk.

Complex Variables · Mathematics 2020-08-04 Shankey Kumar , Swadesh Kumar Sahoo

The authors study Hardy spaces, of arbitrary order, on a space of homogeneous type. This extends earlier work that treated only $H^p$ for $p$ near 1. Applications are given to the boundedness of certain singular integral operators,…

Functional Analysis · Mathematics 2016-09-06 Steven G. Krantz , Song-Ying Li

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…

Classical Analysis and ODEs · Mathematics 2023-05-16 Zhongci Hang , Wenfeng Liu , Xiang Li , Dunyan Yan

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

In this paper we investigate the boundedness of classical operators, namely the Hardy-Littlewood maximal operator, fractional integral operators, and Calderon-Zygmund operators, on generalized weighted Morrey spaces and generalized weighted…

Functional Analysis · Mathematics 2022-07-14 Yusuf Ramadana , Hendra Gunawan

We consider a version of M. Riesz fractional integral operator on a space of homogeneous type and show an analogue of the well-known Hardy--Littlewood--Sobolev theorem in this context. In our main result, we investigate the dependence of…

Classical Analysis and ODEs · Mathematics 2012-12-14 Anna Kairema

In this paper, by using the decomposition theorem for weak Hardy spaces, we will obtain the boundedness properties of some integral operators with variable kernels on these spaces, under some Dini type conditions imposed on the variable…

Classical Analysis and ODEs · Mathematics 2014-01-27 Hua Wang

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
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