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Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces
In this paper, we study the boundedness of the fractional integral operator and their commutator on Herz spaecs with two variable exponents . By using the properties of the variable exponentsExpand
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Boundedness of fractional Marcinkiewicz integral with variable kernel on variable Morrey-Herz spaces
In this article, the authors obtain the boundedness of the fractional Marcinkiewicz integral with variable kernel on Morrey-Herz spaces with variable exponents α and p. The corresponding boundednessExpand
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Boundedness of commutators on herz-morry-hardy spaces with variable exponent
In this paper, we obtain the boundedness of commutators generated by the Calderón-Zygmund operator, BMO functions and Lipschitz function on Herz-Morrey-Hardy spaces with variable exponent HMKExpand
Boundedness for Commutators of Calderón-Zygmund Operator on Herz-Type Hardy Space with Variable Exponent
Our aim in this paper is to prove the boundedness of commutators of Calderon-Zygmund operator with the Lipschitz function or BOM function on Herz-type Hardy space with variable exponent.
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Boundedness of Calderón−Zygmund operators and their commutator on Morrey-Herz Spaces with variable exponents
In this paper, the boundedness of Calderón−Zygmund operators is obtained on Morrey-Herz spaces with variable exponents MK q(·),p(·)(R n) and several norm inequalities for the commutator generated byExpand
Higer-order commutators of parametrized Marcinkewicz integrals on Herz spaces with variable exponent
It is easy to see that when ρ = 1, and μρ(h) = μ1(h), then (2) is the classical Marcinkiewicz integral μ(h) introduced by Stein in [1]. It has been proved in [1] that if Ω ∈ Lipγ(Sn−1) (0 < γ ≤ 1)Expand
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Fractional operators with homogeneous kernels in weighted Herz spaces with variable exponent
Let Ω ∈ L s ( S n − 1 ) , with s ≥ 1 , be a homogeneous function of degree zero. In this paper, we establish the boundedness of the homogeneous fractional integral operator on weighted Herz spaces ...
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Multilinear fractional integral with rough kernel on variable exponent Morrey-Herz spaces
In 1975, Coifman and Meyer [1] introduced multilinear integral and the boundedness of the multilinear fractional integral operator on Lebesgue spaces established in [2–4]. Li and Tao [5] discussedExpand
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Commutators of fractional integral with variable kernel on variable exponent Herz-Morrey spaces
By using the boundedness results for the commutators of the fractional integral with variable kernel on variable Lebesgue spaces Lp(·)(Rn), the boundedness results are established on variableExpand
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Boundedness of Littlewood-Paley Operators with Variable Kernel on Weighted Herz Spaces with Variable Exponent
Let Ω ∈ L∞(Rn) × L2(Sn−1) be a homogeneous function of degree zero. In this article, we obtain some boundedness of the parameterized Littlewood−Paley operators with variable kernels on weighted HerzExpand
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