Results 11 to 20 of about 1,394 (208)
On the Lebesgue and Sobolev spaces on a time-scale [PDF]
Opuscula Mathematica, 2019 We consider the generalized Lebesgue and Sobolev spaces on a bounded time-scale. We study the standard properties of these spaces and compare them to the classical known results for the Lebesgue and Sobolev spaces on a bounded interval.
Ewa Skrzypek +1 more
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Lebesgue Points of Besov and Triebel–Lizorkin Spaces with Generalized Smoothness
Mathematics, 2021 In this article, the authors study the Lebesgue point of functions from Hajłasz–Sobolev, Besov, and Triebel–Lizorkin spaces with generalized smoothness on doubling metric measure spaces and prove that the exceptional sets of their Lebesgue points have ...
Ziwei Li, Dachun Yang, Wen Yuan
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Bilinear multipliers of weighted Lebesgue spaces and variable exponent Lebesgue spaces [PDF]
Journal of Inequalities and Applications, 2013 The authors consider bilinear multipliers of the form \[ (f,g) \mapsto \int \limits _{\mathbb{R}^{n}} \int \limits _{\mathbb{R}^{n}} \widehat{f}(\xi)\widehat{g}(\eta)m(\xi,\eta)\exp(2i\pi \langle \cdot, \xi+\eta \rangle)d\xi d\eta, \] acting on weighted or variable exponent \(L^p\) spaces (here \(m\in L^{\infty}(\mathbb{R}^{2n};\mathbb{C})\)).
Kulak, Oznur, Gurkanli, A. Turan
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Boundedness of Commutators of Marcinkiewicz Integrals on Nonhomogeneous Metric Measure Spaces
Journal of Function Spaces, 2015 Let (X,d,μ) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen. The aim of this paper is to establish the boundedness of commutator Mb generated by the Marcinkiewicz integral M ...
Guanghui Lu, Shuangping Tao
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Современная математика: Фундаментальные направления, 2022 In this paper, we consider the boundedness of integrals of fractional Hadamard integration and Hadamard-type integration (mixed and directional) in Lebesgue spaces with mixed norm.
M. U. Yakhshiboyev
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Estimates for iterated commutators of multilinear square fucntions with Dini-type kernels
Journal of Inequalities and Applications, 2018 Let TΠb→ $T_{\Pi\vec {b}}$ be the commutator generated by a multilinear square function and Lipschitz functions with kernel satisfying Dini-type condition.
Zengyan Si, Qingying Xue
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On Variable Exponent Amalgam Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We derive some of the basic properties of weighted variable exponent Lebesgue spaces Lp(.)w (ℝn) and investigate embeddings of these spaces under some conditions.
Aydin İsmail
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Sharp estimates for the p-adic Hardy type operators on higher-dimensional product spaces
Journal of Inequalities and Applications, 2017 In this paper, we introduce the p-adic Hardy type operator and obtain its sharp bound on the p-adic Lebesgue product spaces. Meanwhile, an analogous result is computed for the p-adic Lebesgue product spaces with power weights.
Ronghui Liu, Jiang Zhou
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The Aronson–Bénilan estimate in Lebesgue spaces
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 In a celebrated three-page-long paper in 1979, Aronson and Bénilan obtained a remarkable estimate on second-order derivatives for the solution of the porous media equation. Since its publication, the theory of porous medium flow has expanded relentlessly with applications including thermodynamics, gas flow, and groundwater flow, as well as
Bevilacqua, Giulia +2 more
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Generalized Grand Lebesgue Spaces Associated to Banach Function spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper we introduce the class of grand Lebesgue spaces associated to a Banach function space $X$ by replacing the role of the $L^1$-norm by the norm $\|\cdot\|_X$ in the classical construction of the generalized grand Lebesgue spaces.
Alireza Bagheri Salec +2 more
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