Results 111 to 120 of about 698 (138)

Entanglement Cost for Infinite-Dimensional Physical Systems. [PDF]

open access: yesCommun Math Phys
Yamasaki H, Kuroiwa K, Hayden P, Lami L.
europepmc   +1 more source

Iterated grand and small Lebesgue spaces

Collectanea Mathematica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giuseppina Anatriello
exaly   +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 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
openaire   +1 more source

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.
openaire   +1 more source

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
openaire   +3 more sources

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
openaire   +2 more sources

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
openaire   +5 more sources

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