Results 131 to 140 of about 56,469 (146)
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Tractable embeddings of Besov spaces into small Lebesgue spaces
Mathematische Nachrichten, 2016This paper deals with dimension‐controllable (tractable) embeddings of Besov spaces on n‐dimensional torus into small Lebesgue spaces. Our techniques rely on the approximation structure of Besov spaces, extrapolation properties of small Lebesgue spaces and interpolation.
Oscar Dominguez
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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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A New Approach to Grand and Small Norms in Discrete Lebesgue Spaces
Mathematical Notes, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berezhnoi, E. I., Karapetyants, A. N.
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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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New properties of small Lebesgue spaces and their applications
Mathematische Annalen, 2003Let \(n\) be a positive integer and let \(\Omega\) be an open subset of Euclidean space \(\mathbb{R}^n\) with Lebesgue measure \(m\).
FIORENZA, ALBERTO, J. M. Rakotoson
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Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications
Calculus of Variations and Partial Differential Equations, 2005Let \(\Omega\) be a bounded domain in \(\mathbb{R}^n\) with \(C^{0,1}\)-boundary and let \(L^{p)}(\Omega)\) be the so called Grand Lebesgue space introduced by Iwaniec-Sbordone. The associated space \(L^{(p}(\Omega)=\left[L^{p^\prime )}(\Omega)\right]^\prime\) was introduced and characterized by the first author, who called them small Lebesgue spaces ...
FIORENZA, ALBERTO, J. M. RAKOTOSON
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Hausdorff operators associated with the Opdam–Cherednik transform in Lebesgue spaces
Journal of Pseudo-Differential Operators and Applications, 2022Shyam Mondal, Anirudha Poria
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On grand Lebesgue spaces on sets of infinite measure
Mathematische Nachrichten, 2017Stefan G Samko, Salaudin Umarkhadzhiev
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