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Multipliers on bi-parameter Haar system Hardy spaces. [PDF]

Math Ann
Lechner R, Motakis P, Müller PFX, Schlumprecht T.   +3 more
europepmc   +1 more source

Ground State Energy of Dense Gases of Strongly Interacting Fermions. [PDF]

Ann Henri Poincare
Fournais S, Ruba B, Solovej JP.
europepmc   +1 more source

Expected Complexity of Barcode Reduction. [PDF]

J Appl Comput Topol
Giunti B, Houry G, Kerber M, Söls M.
europepmc   +1 more source

Analysis of mean-field models arising from self-attention dynamics in transformer architectures with layer normalization. [PDF]

Philos Trans A Math Phys Eng Sci
Burger M, Kabri S, Korolev Y, Roith T, Weigand L.   +4 more
europepmc   +1 more source

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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
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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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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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