A Gagliardo-Nirenberg inequality for Lorentz spaces
type: Item
instance of: scholarly article
title: A Gagliardo-Nirenberg inequality for Lorentz spaces
zbMATH Open document ID: 1119.26019
author: Mai Thi Thu
published in: Vietnam Journal of Mathematics
publication date: 2007-05-24T00:00:00Z
review text: It is given an extension of the Gagliardo-Nirenberg inequality to Lorentz spaces. The generalized derivatives are written in integral form in order to prove the continuity by way of contradiction. Also Fatou's lemma is used. Then the first part follows from the classical Gagliardo-Nirenberg inequality by taking the limit as epsilon tends to zero. The proof is completed using a diagonal process and Fatou's lemma again and the definition of the Lorentz norm.
reviewed by: Cristinel Mortici
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E30
zbMATH DE Number: 5156814
zbMATH Keywords: generalized derivatives
zbMATH Keywords: Sobolev spaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5156814