Results 1 to 10 of about 82,244 (222)
On small Lebesgue spaces [PDF]
Journal of Function Spaces and Applications, 2005 We consider a generalized version of the small Lebesgue spaces, introduced in [5] as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss ...
Claudia Capone, Alberto Fiorenza
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Some Properties of Lebesgue Fuzzy Metric Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, we establish a sequential characterisation of Lebesgue fuzzy metric and explore the relationship between Lebesgue, weak $G$-complete and compact fuzzy metric spaces.
Sugata Adhya, Atasi Deb Ray
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Tent Space Approach of Morrey Spaces and Their Application to Duality and Complex Interpolation
Journal of Function Spaces, 2023 The aim in this paper is to establish a new duality property of Morrey spaces and to discover the complex interpolation space between Morrey spaces and Lebesgue spaces.
Takahiro Ono
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Uniform estimates with data from generalized Lebesgue spaces in periodic structures
Boundary Value Problems, 2021 We study various types of uniform Calderón–Zygmund estimates for weak solutions to elliptic equations in periodic homogenization. A global regularity is obtained with respect to the nonhomogeneous term from weighted Lebesgue spaces, Orlicz spaces, and ...
Yunsoo Jang
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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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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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Journal of Function Spaces, 2022 Let θ≥0 and p· be a variable exponent, and we introduce a new class of function spaces Lp·,θ in a probabilistic setting which unifies and generalizes the variable Lebesgue spaces with θ=0 and grand Lebesgue spaces with p·≡p and θ=1.
Libo Li, Zhiwei Hao
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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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Vector balancing in Lebesgue spaces
Random Structures & Algorithms, 2022 AbstractThe Komlós conjecture suggests that for any vectors there exist so that . It is a natural extension to ask what ‐norm bound to expect for . We prove a tight partial coloring result for such vectors, implying a nearly tight full coloring bound. As a corollary, this implies a special case of Beck–Fiala's conjecture.
Reis, Victor, Rothvoss, Thomas
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