Results 1 to 10 of about 1,351 (165)
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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On the Factor Opposing the Lebesgue Norm in Generalized Grand Lebesgue Spaces [PDF]
Results in Mathematics, 2021 AbstractWe prove that if $$1<p<\infty $$ 1 < p < ∞ and $$\delta :]0,p-1]\rightarrow ]0,\infty [$$ δ : ]
Alberto Fiorenza +2 more
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Miskolc Mathematical NotesBourgain initially introduced a specific instance of Bourgain-Morrey spaces to investigate the restriction and multiplier problems in ...
Baohua Dong, Xuanxuan Hu, Jingshi Xu
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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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ON THE COMPLEXITY OF CLASSIFYING LEBESGUE SPACES [PDF]
The Journal of Symbolic Logic, 2020 AbstractComputability theory is used to evaluate the complexity of classifying various kinds of Lebesgue spaces and associated isometric isomorphism problems.
Tyler Brown +2 more
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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.
Victor Reis, Thomas Rothvoss
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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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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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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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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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