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On the Duality of Grand Bochner–Lebesgue Spaces
Mathematical Notes, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jain, P. +3 more
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Grand and small norms in Lebesgue spaces
Mathematical Methods in the Applied Sciences, 2023We present a new approach to the definition of grand and small Lebesgue spaces. This in particular allows to include into consideration the extreme exponents and . Basically, the study of the extreme exponent case is the main result of the article. However, we expect that our general construction for the norms in grand and small Lebesgue spaces will
Evgeny Berezhnoi, Alexey Karapetyants
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Hausdorff Operator on Weighted Lebesgue and Grand Lebesgue p-Adic Spaces
p-Adic Numbers, Ultrametric Analysis and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bandaliyev R.A., Volosivets S.S.
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Iterated grand and small Lebesgue spaces
Collectanea Mathematica, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Complex interpolation of grand Lebesgue spaces
Monatshefte für Mathematik, 2017Let \(L^{p)\tau}\) denote the grand Lebesgue space on a finite measure space, \(1< p 0\), as defined in [\textit{L. Greco} et al., Manuscr. Math. 92, No. 2, 249--258 (1997; Zbl 0869.35037)]. Let \([X_0,X_1]_{\theta}\) and \([X_0,X_1]^{\theta}\) be the first and second Calderón's complex interpolation spaces for the the compatible couple of Banach ...
Hakim, Denny Ivanal +2 more
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On Quasi-Grand Lebesgue Spaces and the Hausdorff Operator
Bulletin of the Malaysian Mathematical Sciences Society, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Singh, Arun Pal +2 more
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EMBEDDING OF GRAND CENTRAL MORREY-TYPE SPACES INTO LOCAL GRAND WEIGHTED LEBESGUE SPACES
Journal of Mathematical Sciences, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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GRAND LEBESGUE SPACES ON QUASI-METRIC MEASURE SPACES OF INFINITE MEASURE
Journal of Mathematical Sciences, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
V. Guliyev, S. Samko, S. Umarkhadzhiev
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Grand and Small Lebesgue Spaces and Their Analogs
Zeitschrift für Analysis und ihre Anwendungen, 2004We give the following, equivalent, explicit expressions for the norms of the small and grand Lebesgue spaces, which depend only on the non-decreasing rearrangement (we assume here that the underlying measure space has measure 1): \begin{align*} \|f\|_{L^{(p}} &\approx \int_0^1 (1-\ln t)^{
FIORENZA, ALBERTO, G. E. KARADZHOV
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Unilateral Ball Potentials in Grand Lebesgue Spaces
2021Necessary and sufficient conditions for the boundedness of unilateral ball potentials (ball fractional integrals) in grand Lebesgue spaces on \( \mathbb {R}^{n} \) were obtained for various classes of grandizers. Lower bounds are proved for the norm of these operators in grand spaces with integrable grandizers and upper bounds in spaces with radial ...
S. M. Umarkhadzhiev, M. U. Yakhshiboev
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