Results 81 to 90 of about 126 (109)
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Grand Lebesgue sequence spaces
Georgian Mathematical Journal, 2018Abstract We introduce grand Lebesgue sequence spaces and study various operators of harmonic analysis in these spaces, e.g., maximal, convolution, Hardy, Hilbert, and fractional operators, among others. Special attention is paid to fractional calculus, including the density of the discrete version of a Lizorkin sequence test space in ...
Humberto Rafeiro +2 more
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Complex interpolation of grand Lebesgue spaces
Monatshefte Fur 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 ...
Denny Ivanal Hakim +2 more
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Boyd Indices in Generalized Grand Lebesgue Spaces and Applications
Mediterranean Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Raffaella Giova +2 more
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Extrapolation in Grand Lebesgue Spaces with A∞ Weights
Mathematical Notes, 2018Results on extrapolation withA∞ weights in grand Lebesgue spaces are obtained. Generally, these spaces are defined with respect to the productmeasure μ1 ×· · ·×μn onX1 ×· · ·×Xn, where (Xi, di, μi), i = 1,..., n, are spaces of homogeneous type. As applications of the obtained results, new one-weight estimates with A∞ weights for operators of harmonic ...
Vakhtang Kokilashvili, Kokilashvili V
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Composition Operators in Grand Lebesgue Spaces
Analysis Mathematica, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karapetyants, A. +1 more
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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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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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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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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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Approximation in weighted generalized grand Lebesgue spaces
Colloquium Mathematicum, 2015Summary: The direct and inverse problems of approximation theory in the subspace of weighted generalized grand Lebesgue spaces of \(2\pi \)-periodic functions with the weights satisfying Muckenhoupt's condition are investigated. Appropriate direct and inverse theorems are proved.
Israfilov, Daniyal M., Testici, Ahmet
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