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Variation inequalities for rough singular integrals and their commutators on Morrey spaces and Besov spaces

open access: yesAdvances in Nonlinear Analysis, 2021
This paper is devoted to investigating the boundedness, continuity and compactness for variation operators of singular integrals and their commutators on Morrey spaces and Besov spaces.
Zhang Xiao, Liu Feng, Zhang Huiyun
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Some remarks on the sparse dominations for commutators of multi(sub)linear operator

open access: yesJournal of Inequalities and Applications, 2021
We establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the W q $W_{q}$ condition. As consequences, we present some quantitative weighted estimates for the commutators.
Zhidan Wang
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Weighted variable Morrey-Herz space estimates for $ m $th order commutators of $ n- $dimensional fractional Hardy operators

open access: yesAIMS Mathematics, 2023
In this paper, we establish the boundedness for $ m $th order commutators of $ n- $dimensional fractional Hardy operators and adjoint operators on weighted variable exponent Morrey-Herz space $ \mathrm{M\dot{K}}_{q, p(\cdot)}^{\alpha(\cdot), \lambda ...
Ming Liu, Bin Zhang, Xiaobin Yao
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Weighted Lipschitz estimates for commutators of multilinear Calderón–Zygmund operators with Dini type kernels

open access: yesJournal of Inequalities and Applications, 2022
In this paper, we discuss the properties for commutators and iterated commutators generated by the multilinear ω-CZO and weighted Lipschitz functions on Lebesgue space.
Jie Sun
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Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces

open access: yesOpen Mathematics, 2021
Let (X,d,μ)\left(X,d,\mu ) denote nonhomogeneous metric measure space satisfying geometrically doubling and the upper doubling measure conditions.
Wang Hailian, Xie Rulong
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Weighted and endpoint estimates for commutators of bilinear pseudo-differential operators

open access: yesAIMS Mathematics, 2022
In this paper, by applying the accurate estimates of the Hörmander class, the authors consider the commutators of bilinear pseudo-differential operators and the operation of multiplication by a Lipschitz function.
Yanqi Yang, Shuangping Tao, Guanghui Lu
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Regularity of Commutators of the One-Sided Hardy-Littlewood Maximal Functions

open access: yesJournal of Function Spaces, 2020
In this paper, the regularity properties of two classes of commutators of the one-sided Hardy-Littlewood maximal functions and their fractional variants are investigated.
Daiqing Zhang
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On the Commutators of Marcinkiewicz Integral with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces

open access: yesMathematics, 2022
This paper is devoted to exploring the mapping properties for the commutator μΩ,b generated by Marcinkiewicz integral μΩ with a locally integrable function b in the generalized Campanato spaces on the generalized Morrey spaces.
Fuli Ku, Huoxiong Wu
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Some estimates for commutators of bilinear pseudo-differential operators

open access: yesOpen Mathematics, 2022
We obtain a class of commutators of bilinear pseudo-differential operators on products of Hardy spaces by applying the accurate estimates of the Hörmander class. And we also prove another version of these types of commutators on Herz-type spaces.
Yang Yanqi, Tao Shuangping
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Some weighted estimates for the commutators of p-adic Hardy operator on two weighted p-adic Herz-type spaces

open access: yesAIMS Mathematics, 2021
In the present artice we discuss the weighted p-adic central bounded mean oscillations (CMO) and p-adic Lipschtiz estimates for the commutators of p-adic Hardy operator on two weighted p-adic Herz-type spaces.
Naqash Sarfraz, Muhammad Aslam
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