Results 1 to 10 of about 390 (267)
On the boundedness of parabolic maximal operators on product domains
Heliyon, 2021 In this article, appropriate sharp Lp bounds for a certain class of rough maximal operators MΩ,γ with mixed homogeneity are established. Specifically, when the function Ω belongs to Lq(Sm−1×Sn−1) with m,n≥2 and q>1, the boundedness of the such operators ...
Mohammed Ali
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Open Mathematics, 2021 In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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Some estimates for commutators of Littlewood-Paley g-functions
Open Mathematics, 2021 The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
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Estimates for certain class of rough generalized Marcinkiewicz functions along submanifolds
Open Mathematics, 2023 We establish certain delicate Lp{L}^{p} bounds for a class of generalized Marcinkiewicz integral operators along submanifolds with rough kernels.
Ali Mohammed, Al-Qassem Hussain
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Notes on pseudodifferential operators commutators and Lipschitz functions
Open Mathematics, 2023 This article focuses on the boundedness of the commutators generated by pseudodifferential operators with Lipschitz functions and obtains a sufficient condition such that these operators are bounded from Lp(Rn){L}^{p}\left({{\bf{R}}}^{n}) into the ...
Deng Yu-long
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The Boundedness of Marcinkiewicz Integral Associated with Schrödinger Operator and Its Commutator
Journal of Function Spaces, 2014 The authors prove that Marcinkiewicz integral operator is not only are bounded on Lp, for ...
Dongxiang Chen, Dan Zou
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On an extension of singular integrals along manifolds of finite type
International Journal of Mathematics and Mathematical Sciences, 2006 We extend the Lp-boundedness of a class of singular integral operators under the H1 kernel condition on a compact manifold from the homogeneous Sobolev space L˙αp(ℝn) to the Lebesgue space Lp(ℝn).
Abdelnaser Al-Hasan, Dashan Fan
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Some Estimates of Rough Bilinear Fractional Integral
Journal of Function Spaces and Applications, 2012 We study the boundedness of rough bilinear fractional integral BΩ,α on Morrey spaces Lp,λ(ℝn) and modified Morrey spaces L~p,λ(ℝn) and obtain some sufficient and necessary conditions on the parameters.
Yun Fan, Guilian Gao
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A note on commutators of strongly singular Calderón-Zygmund operators
Open Mathematics, 2022 In this article, the authors consider the commutators of strongly singular Calderón-Zygmund operator with Lipschitz functions. A sufficient condition is given for the boundedness of the commutators from Lebesgue spaces Lp(Rn){L}^{p}\left({{\mathbb{R ...
Zhang Pu, Zhu Xiaomeng
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A boundedness result for Marcinkiewicz integral operator
Open Mathematics, 2020 We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.
Hawawsheh Laith, Abudayah Mohammad
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