Hardy and Rellich-type inequalities for metrics defined by vector fields
type: Item
instance of: scholarly article
title: Hardy and Rellich-type inequalities for metrics defined by vector fields
zbMATH Open document ID: 1032.46049
DOI: 10.1023/A:1020963702912
author: Gabriele Grillo
published in: Potential Analysis
publication date: 2003-04-27T00:00:00Z
review text: The author considers a system of locally Lipschitz fields on a domain in \(\mathbb{R}^n\). It is assumed that the Lebesgue measure is doubling and a scaled \(L^1\)-Poincaré inequality holds. Non-local analogues of both Hardy and Sobolev-Okikiolu inequalities are obtained. Some applications are considered.
reviewed by: Vladimir V. Peller
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 43A85
Mathematics Subject Classification ID: 35J70
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1901239
zbMATH Keywords: Hardy inequality
zbMATH Keywords: Rellich inequality
zbMATH Keywords: Sobolev-Okikiolu inequality
zbMATH Keywords: degenerate elliptic operators
MaRDI profile type: Publication
full work available at URL: a:1020963702912
OpenAlex ID: W1596698447
description: scientific article; zbMATH DE number 1901239