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Regularity of Conjugacies of Linearizable Generalized Interval Exchange Transformations. [PDF]

Commun Math Phys
Ghazouani S, Ulcigrai C.
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The adaptive functional piecewise ordered weighted averaging method and its application to pollutant concentration analysis. [PDF]

PLoS One
Li Y, Hu X, Tian M.
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Global well-posedness of the 2D nonlinear Schrödinger equation with multiplicative spatial white noise on the full space. [PDF]

Probab Theory Relat Fields
Debussche A, Liu R, Tzvetkov N, Visciglia N.   +3 more
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New properties of small Lebesgue spaces and their applications

Mathematische Annalen, 2003
Let \(n\) 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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Grand and small norms in Lebesgue spaces

Mathematical Methods in the Applied Sciences, 2023
We 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, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berezhnoi, E. I., Karapetyants, A. N.
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Bilinear Multipliers of Small Lebesgue spaces

2020
Let $G$ be a locally compact abelian metric group with Haar measure $ $ and $\hat{G}$ its dual with Haar measure $ ,$ and $ ( G) $ is finite.
Kulak, ��znur, G��rkanl��, A. Turan   +1 more
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Grand and Small Lebesgue Spaces and Their Analogs

Zeitschrift 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
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Iterated grand and small Lebesgue spaces

Collectanea Mathematica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compactness, interpolation inequalities for small Lebesgue-Sobolev spaces and applications

Calculus 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
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