Asymptotic estimates for Gagliardo-Nirenberg embedding constants
type: Item
instance of: scholarly article
title: Asymptotic estimates for Gagliardo-Nirenberg embedding constants
zbMATH Open document ID: 1007.58021
DOI: 10.1023/A:1016195512677
author: William Beckner
published in: Potential Analysis
publication date: 2002-08-21T00:00:00Z
review text: The authors obtain sharp asymptotic information for the Gagliardo-Nirenberg embedding constants in high dimension. They also show that the Hardy's inequality can be interpreted as the asymptotic limit of the logarithmic Sobolev inequality. The Moser and Nash inequalities illustrate how asymptotic estimates can be obtained for the embedding constants for two sets of Gagliardo-Nirenberg inequalities.
Mathematics Subject Classification ID: 58J70
Mathematics Subject Classification ID: 35A25
zbMATH DE Number: 1785634
zbMATH Keywords: Sobolev embedding
zbMATH Keywords: logarithmic Sobolev inequality
zbMATH Keywords: Hardy's inequality
reviewed by: Peter B. Gilkey
MaRDI profile type: Publication
full work available at URL: a:1016195512677
OpenAlex ID: W2357702148
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description: scientific article; zbMATH DE number 1785634