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In this article, we establish some conditions for the boundedness of fractional integral operators on the vanishing generalized weighted Morrey spaces. We also investigate corresponding commutators generated by BMO functions.

泛函分析 · 数学 2017-05-17 Bilal Çekiç , Ayşegül Çelik Alabalık

The aim of this paper is to get the boundedness of certain multi-sublinear operators generated by multilinear fractional integral operators on the product generalized local Morrey spaces under generic size conditions which are satisfied by…

偏微分方程分析 · 数学 2016-11-11 Ferit Gurbuz

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.

经典分析与常微分方程 · 数学 2013-03-20 Hua Wang , Wentan Yi

In this paper, we establish multilinear BMO estimates for commutators of multilinear fractional maximal and integral operators both on product generalized Morrey spaces and product generalized vanishing Morrey spaces, respectively. Similar…

泛函分析 · 数学 2017-02-09 Ferit Gurbuz

It is proved that both oscillatory integral operators and fractional oscillatory integral operators are bounded on weighted Morrey spaces. The corresponding commutators generated by $BMO$ functions are also considered.

泛函分析 · 数学 2011-11-23 Zunwei Fu , Shaoguang Shi , Shanzhen Lu

In this paper we investigate the boundedness of sublinear operators generated by fractional integrals as well as sublinear operators generated by Calder\`on-Zygmund operators on generalized weighted Morrey spaces and generalized weighted…

泛函分析 · 数学 2024-06-11 Yusuf Ramadana , Hendra Gunawan

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

The aim of this paper is to get the boundedness of rough sublinear operators generated by fractional integral operators on vanishing generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the…

泛函分析 · 数学 2018-09-25 Ferit Gürbüz

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…

泛函分析 · 数学 2022-07-14 Yusuf Ramadana , Hendra Gunawan

In this paper, we establish BMO estimates for generalized commutators of rough fractional maximal and integral operators on generalized weighted Morrey spaces, respectively.

泛函分析 · 数学 2016-03-23 Ferit Gurbuz

In this paper, the author studies the boundedness for a large class of sublinear operator $T_\alpha, \alpha\in[0,n)$ generated by Calder{\'o}n-Zygmund operators ($\alpha=0$) and generated by fractional integral operator ($\alpha>0$) on…

泛函分析 · 数学 2021-11-23 Mingquan Wei

This paper investigates the boundedness of a broad class of operators within the framework of generalized Morrey-Banach function spaces. This class includes multilinear operators such as multilinear $\omega$-Calder\'{o}n-Zygmund operators,…

经典分析与常微分方程 · 数学 2025-02-13 Jiawei Tan , Jiahui Wang , Qingying Xue

In this paper we examine boundedness of fractional maximal operator. The main focus is on commutators and maximal commutators on generalized Orlicz spaces for fractional maximal functions and Riesz potentials. We prove their boundedness…

泛函分析 · 数学 2021-06-16 Arttu Karppinen

In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition…

泛函分析 · 数学 2018-04-25 Vagif S. Guliyev , Fatih Deringoz

We deal with the boundedness properties of higher order commutators related to some generalizations of the multilinear fractional integral operator of order $m$, $I_\alpha ^m$, from a product of weighted Lebesgue spaces into adequate…

经典分析与常微分方程 · 数学 2022-10-07 Fabio Berra , Gladis Pradolini , Jorgelina Recchi

The main questions raised in this paper are to find the sufficient conditions that make multi-sublinear operators $T$ and their commutators ${T_{\prod \vec b }}$, ${T_{\sum {\vec b} }}$ to be bounded on three kinds of generalized weighted…

泛函分析 · 数学 2023-07-07 Xi Cen , Xiang Li , Dunyan Yan

In this paper, the main aim is to consider the Spanne-type boundedness of the multiliinear fractional integral operator $\mathcal{I}_{\alpha,m}$ and multiliinear fractional maximal operator $\mathcal{M}_{\alpha,m}$ in the generalized Morrey…

经典分析与常微分方程 · 数学 2023-06-21 J. Wu , X. Tian

Let $0<\alpha<n$ and $I_\alpha$ be the fractional integral operator. In this paper, we shall use a unified approach to show some boundedness properties of commutators $[b,I_\alpha]$ on the weighted Morrey spaces $L^{p,\kappa}(w)$ under…

经典分析与常微分方程 · 数学 2013-01-23 Hua Wang

This paper mainly dedicates to prove a plethora of weighted estimates on Morrey spaces for bilinear fractional integral operators and their general commutators with BMO functions of the form…

经典分析与常微分方程 · 数学 2019-05-28 Qianjun He , Mingquan Wei , Dunyan Yan

The present paper is devoted to the boundedness of fractional integral operators in Morrey spaces defined on quasimetric measure spaces. In particular, Sobolev, trace and weighted inequalities with power weights for potential operators are…

泛函分析 · 数学 2008-06-17 Eridani , Vakhtang Kokilashvili , Alexander Meskhi
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