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Boundedness of Fractional Integral with Variable Kernel and Their Commutators on Variable Exponent Herz Spaces

- A. Abdalmonem, Omer Abdalrhman, S. Tao
- Mathematics
- 7 June 2016

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 exponents… Expand

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Boundedness of fractional Marcinkiewicz integral with variable kernel on variable Morrey-Herz spaces

- A. Abdalmonem, Omer Abdalrhman, S. Tao
- Chemistry
- 31 December 2018

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 boundedness… Expand

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Boundedness of commutators on herz-morry-hardy spaces with variable exponent

- Omer Abdalrhman, A. Abdalmonem, S. Tao
- Chemistry
- 31 December 2019

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 HMK… Expand

Boundedness for Commutators of Calderón-Zygmund Operator on Herz-Type Hardy Space with Variable Exponent

- Omer Abdalrhman, A. Abdalmonem, S. Tao
- Mathematics
- 7 June 2016

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 by… Expand

Higer-order commutators of parametrized Marcinkewicz integrals on Herz spaces with variable exponent

- Omer Abdalrhman, A. Abdalmonem, S. Tao
- Mathematics
- 31 December 2020

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

- A. Abdalmonem, A. Scapellato
- Mathematics
- 16 July 2020

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

- A. Abdalmonem, Omer Abdalrhman, S. Tao
- Chemistry
- 31 December 2019

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] discussed… Expand

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Commutators of fractional integral with variable kernel on variable exponent Herz-Morrey spaces

- A. Abdalmonem, Omer Abdalrhman, Hossam Eldeen Mohammed
- Mathematics
- 31 December 2019

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 variable… Expand

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Boundedness of Littlewood-Paley Operators with Variable Kernel on Weighted Herz Spaces with Variable Exponent

- A. Abdalmonem, Omer Abdalrhman, S. Tao
- Mathematics
- 31 December 2018

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 Herz… Expand

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