Results 1 to 10 of about 56 (50)
Boundedness of sublinear operators on weighted grand Herz-Morrey spaces
AIMS Mathematics, 2023 In this paper, we introduce weighted grand Herz-Morrey type spaces and prove the boundedness of sublinear operators and their multilinear commutators on these spaces. The results are still new even in the unweighted setting.
Wanjing Zhang, Suixin He , Jing Zhang
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Boundedness of Marcinkiewicz integral operator of variable order in grand Herz-Morrey spaces
AIMS Mathematics, 2023 Let $ \mathbb{S}^{n-1} $ denotes the unit sphere in $ \mathbb{R}^n $ equipped with the normalized Lebesgue measure. Let $ \Phi \in L^r(\mathbb{S}^{n-1}) $ be a homogeneous function of degree zero.
Mehvish Sultan +3 more
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Open Mathematics, 2023 This article aims to delve deeper into the weighted grand variable Herz-Morrey spaces, and try to establish the boundedness of fractional sublinear operators and their multilinear commutators within this framework.
Yang Zhenzhen, Zhang Wanjing, Zhang Jing
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Parametric Marcinkiewicz integral on grand variable Herz-Morrey spaces
AIMS MathematicsWe establish the boundedness of the parametric Marcinkiewicz integral $ \mu^\rho_\Omega $ and its higher-order commutators $ [\Lambda^m, \mu^\rho_\Omega] $ with $ \rm{BMO} $ symbols on grand variable Herz-Morrey spaces $ M\dot{K}_{\lambda, \beta(\cdot)}^{
Liwei Wang, Xiaoyan Li
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AIMS MathematicsIn this paper, we study the boundedness of the commutator of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces when the symbol functions belong to bounded mean oscillations (BMO) space.
Javeria Younas +4 more
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Boundedness of Riesz Potential Operator on Grand Herz-Morrey Spaces
Axioms, 2022 In this paper, we introduce grand Herz–Morrey spaces with variable exponent and prove the boundedness of Riesz potential operators in these spaces.
Babar Sultan +4 more
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Boundedness of an intrinsic square function on grand $ p $-adic Herz-Morrey spaces
AIMS Mathematics, 2023 <abstract><p>This research paper focuses on establishing a framework for grand Herz-Morrey spaces defined over the $ p $-adic numbers and their associated $ p $-adic intrinsic square function. We will define the ideas of grand $ p $-adic Herz-Morrey spaces with variable exponent $ {M\dot{K} ^{\alpha, u), \theta}_{ s(\cdot)}(\mathbb{Q}^n_p)}
Babar Sultan +3 more
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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2023 Let $\mathbb{S}^{n-1}$ denote the unit sphere in $\mathbb{R}^n$ with the normalized Lebesgue measure. Let $\Phi\in L^{r}(\mathbb{S}^{n-1})$ is a homogeneous function of degree zero and $b$ is a locally integrable function on $\mathbb{R}^n$. In this paper we define the higher order commutators of Marcinkiewicz integral $[b,\mu_{\Phi}]^m$ and prove the ...
Babar SULTAN +2 more
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Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent
Fractal and Fractional, 2022 In this paper, we introduce grand weighted Herz–Morrey spaces with a variable exponent and prove the boundedness of fractional integrals on these spaces.
Babar Sultan +5 more
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Journal of Function Spaces, Volume 2017, Issue 1, 2017., 2017 Let T be the singular integral operator with variable kernel defined by Tf(x)=p.v.∫Rn(Ω(x,x-y)/x-yn)f(y)dy and let Dγ (0 ≤ γ ≤ 1) be the fractional differentiation operator. Let T⁎and T♯ be the adjoint of T and the pseudoadjoint of T, respectively. In this paper, the authors prove that TDγ − DγT and (T⁎ − T♯)Dγ are bounded, respectively, from Morrey ...
Yanqi Yang +2 more
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