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Bloom weighted bounds for sparse forms associated to commutators
In this paper we consider bilinear sparse forms intimately related to iterated commutators of a rather general class of operators. We establish Bloom...
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Weighted estimates of commutators of singular operators in generalized Morrey spaces beyond Muckenhoupt range and applications
For a certain class of radial weights, we prove weighted norm estimates for commutators with BMO coefficients of singular operators in local...
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On Commutators of Compact Operators: Generalizations and Limitations of Anderson’s Approach
We offer a new perspective and some advances on the 1971 Pearcy-Top** problem: is every compact operator a commutator of compact operators? Our...
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Two Weighted Estimates for the Commutators of Multilinear Maximal Singular Integral Operators with Dini-type Kernels
The main purpose of this paper is to investigate the properties of the higher order commutators of maximal Calderón—Zygmund operators with Dini-type...
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Boundedness of multilinear commutators of singular integral operators on variable Herz-type spaces
In this paper, we establish the boundedness of multilinear commutators of Hardy–Littlewood maximal operators on Herz-type spaces where all the...
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Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces
We obtain some new characterizations of a variable version of Lipschitz spaces in terms of the boundedness of commutators of sharp maximal functions,...
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Products of Commutators of Involutions in Skew Linear Groups
In connection with [Theorem 4.6, Linear Algebra Appl. 646 , 119–131, (2022)], we show that each matrix in the commutator subgroup of the general...
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On the Boundedness of the Fractional Maximal Operator, the Riesz Potential, and Their Commutators in Orlicz Spaces
AbstractIn this paper, conditions are found for the boundedness of the fractional maximal operator, the Riesz potential, and their commutators in...
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Higher commutators in semigroups with zero
We introduce the notion of the higher commutator of ideals in semigroups. For semigroups with zero, it is shown that the higher order commutator of...
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Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields
We introduce the Hardy and Hardy–Littlewood–Pólya operators on local fields and show that they are bounded on weighted Lebesgue spaces with power...
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Discrete Bilinear Operators and Commutators
We discuss boundedness properties of certain classes of discrete bilinear operators that are similar to those of the continuous bilinear...
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Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces
In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,...
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Two-Weight Inequalities for Multilinear Commutators in Product Spaces
This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A...
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Calderón—Zygmund Operators and Commutators in Spaces of Homogeneous Type: Weighted Inequalities
The recent proof of the sharp weighted bound for Calderón-Zygmund operators has led to much investigation in sharp mixed bounds for operators and...
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Endpoint Entropy Fefferman–Stein Bounds for Commutators
In this paper endpoint entropy Fefferman–Stein bounds for Calderón–Zygmund operators introduced by Rahm (J Math Anal Appl 504(1):Paper No. 125372,...
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Weighted Lipschitz estimates for commutators of multilinear Calderón–Zygmund operators with Dini type kernels
In this paper, we discuss the properties for commutators and iterated commutators generated by the multilinear ω -CZO and weighted Lipschitz functions...
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The Fractional Type Marcinkiewicz Integrals and Commutators on Weighted Hardy Spaces
This paper is devoted to studying the behaviors of the fractional type Marcinkiewicz integrals μ Ω, β and the commutators μ
Ω, β b generated by μ Ω, β ...