Results 141 to 150 of about 6,242,785 (170)

Iterated grand and small Lebesgue spaces

open access: yesCollectanea Mathematica, 2013
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Giuseppina Anatriello
exaly   +5 more sources

Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications

open access: yesCalculus of Variations and Partial Differential Equations, 2005
Let \(\Omega\) 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
core   +7 more sources

Grand and Small Lebesgue Spaces and Their Analogs

open access: yesZeitschrift für Analysis und ihre Anwendungen, 2004
We 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
openaire   +4 more sources

Tractable embeddings of Besov spaces into small Lebesgue spaces

Mathematische Nachrichten, 2016
This 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
exaly   +2 more sources

Grand quasi Lebesgue spaces

open access: yesJournal of Mathematical Analysis and Applications, 2021
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 ...
Maria Rosaria Formica   +2 more
exaly   +2 more sources

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