Results 11 to 20 of about 102 (90)
The Distance to L∞ in the Grand Orlicz Spaces
Journal of Function Spaces and Applications, 2013 We establish a formula for the distance to L∞ from the grand Orlicz space LΦ)Ω introduced in Capone et al. (2008). A new formula for the distance to L∞ from the grand Lebesgue space Ln)Ω introduced in Iwaniec and Sbordone (1992) is also provided.
Fernando Farroni, Raffaella Giova
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A Decomposition of the Dual Space of Some Banach Function Spaces
Journal of Function Spaces and Applications, 2012 We give a decomposition for the dual space of some Banach Function Spaces as the Zygmund space EXP𝛼 of the exponential integrable functions, the Marcinkiewicz space 𝐿𝑝,∞, and the Grand Lebesgue Space 𝐿𝑝),𝜃.
Claudia Capone, Maria Rosaria Formica
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, 2020 We introduce a new class of quasi-Banach spaces as an extension of the classical Grand Lebesgue Spaces for small values of the parameter, and we investigate some its properties, in particular, completeness, fundamental function, operators estimates, Boyd indices, contraction principle, tail behavior, dual space, generalized triangle and quadrilateral ...
Formica, Maria Rosaria +2 more
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The forgotten parameter in grand Lebesgue spaces
, 2023 Let ...
Capone C., Fiorenza A.
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Sawyer Duality Principle in Grand Lebesgue Spaces
Doklady Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain P. +3 more
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Cpmposed Grand Lebesgue Spaces
, 2011 In this article we introduce and investigate a new class of rearrangement invariant (r.i.) Banach function spaces, so-called Composed Grand Lebesgue Spaces (CGLS), in particular, Integral Grand Lebesgue Spaces (IGLS), which are some generalizations of known Grand Lebesgue Spaces (GLS). We consider the fundamental functions of CGLS, calculate its Boyd's
Ostrovsky, E., Sirota, L.
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ON BASICITY OF PERTURBED SYSTEM OF EXPONENTS IN GRAND-LEBESGUE SPACES
Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2023 Summary: This work is dedicated to the study of basicity of perturbed system of exponents \(\left\{e^{i(n - \beta \operatorname{sign}n)t}\right\}_{n\in \mathbb Z}\) in grand-Lebesgue spaces \(L_{p)}(-\pi, \pi)\), where \(\beta\) is a complex parameter.
Ismailov, Migdad I. +2 more
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On the Approximation Properties of Modified Bernstein–Kantorovich Operators and Their Subfamilies
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Motivated by the construction of Bernstein–Kantorovich operators preserving affine functions, we introduce a Bernstein–Kantorovich type operators 𝒯n,m together with its subfamilies 𝒯∗n,m, 𝒯∗n,2m−1 and 𝒯∗n,2m. We investigate and compare their approximation properties with the other Bernstein–Kantorovich operators. Our analysis demonstrates that,
Hüseyin Aktuğlu, Mustafa Kara
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Covariation inequality in Grand Lebesgue Spaces
, 2022 We represent in this preprint the exact estimate for covariation berween two random variables (r.v.), which are measurable relative the corresponding sigma-algebras through anyhow mixing coefficients. We associate a solution of this problem with fundamental function for correspondent rearrangement invariant spaces.
Ostrovsky, E., Sirota, L.
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Embeddings between grand, small, and variable Lebesgue spaces [PDF]
Mathematical Notes, 2017 We give conditions on the exponent function $p(\cdot)$ that imply the existence of embeddings between grand, small and variable Lebesgue spaces. We construct examples to show that our results are close to optimal. Our work extends recent results by the second author, Rakotoson and Sbordone.
Cruz-Uribe, D. +2 more
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