Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
type: Item
instance of: scholarly article
title: Caffarelli--Kohn--Nirenberg inequalities with remainder terms.
zbMATH Open document ID: 1037.26014
DOI: 10.1016/S0022-1236(03)00017-X
published in: Journal of Functional Analysis
publication date: 2003-11-17T00:00:00Z
review text: The authors prove a large number of very technical results that extend in several directions the inequalities of the form \[ \int_{R^N}| x| ^{-2a}| \nabla u| ^2dx\geq C_{a,b}\lgroup\int_{R^N}| x| ^{-bp} | u| ^pdx\rgroup^{{2}\over{p}} \] in [\textit{L. Caffarelli, R. Kohn} and \textit{L. Nirenberg}, Compos. Math. 53, 259--275 (1984; Zbl 0563.46024)].
reviewed by: Ştefan Mirică
Mathematics Subject Classification ID: 26D10
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 2005500
zbMATH Keywords: Sobolev space
zbMATH Keywords: Hardy inequality
zbMATH Keywords: Hardy-Sobolev inequality
zbMATH Keywords: Caffarelli--Kohn--Nirenberg inequality
author: Zhi-Qiang Wang
author: Michel Willem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2005500