Small Lebesgue spaces and their applications
type: Item
instance of: scholarly article
title: Small Lebesgue spaces and their applications
zbMATH Open document ID: 0999.46017
DOI: 10.1016/S1631-073X(02)02199-4
author: A. Fiorenza
author: J.-M. Rakotoson
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-12-02T00:00:00Z
review text: The authors' present some properties and applications of the so-called small Lebesgue spaces. These spaces share some common properties with the usual Lebesgue spaces as the monotone Levi properties. However, there are some properties which are true for the normal Lebesgue spaces and not satisfied by so-called small Lebesgue ones. As for the application of the monotone Levi property, and the pointwise Poincaré-Sobolev inequality, the authors' derive some new and precises estimates either for small Lebesgue-Sobolev spaces or for quasilinear equations with data in the small Lebesgue spaces.
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 46N20
zbMATH DE Number: 1744394
zbMATH Keywords: small Lebesgue spaces
zbMATH Keywords: monotone Levi properties
zbMATH Keywords: pointwise Poincaré-Sobolev inequality
zbMATH Keywords: small Lebesgue-Sobolev spaces
zbMATH Keywords: quasilinear equations
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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full work available at URL: s1631-073x(02)02199-4
OpenAlex ID: W2079667485
description: scientific article; zbMATH DE number 1744394