Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type
type: Item
instance of: scholarly article
title: Some remarks about Poincaré type inequalities and representation formulas in metric spaces of homogeneous type
zbMATH Open document ID: 0934.46037
DOI: 10.1155/S1025583499000053
author: Bruno Franchi
author: R. L. Wheeden
published in: Journal of Inequalities and Applications
publication date: 2000-04-25T00:00:00Z
full work available at URL: https://eudml.org/doc/120193
review text: The authors derive an integral representation formula for a function in terms of its vector field gradient, assuming a less restrictive growth condition on the volumes of balls than was previously known. The authors give the explicit form of the constants involved in the formula. They also show that the required growth condition is satisfied by a large class of Carnot-Carathéodory vector fields.
Mathematics Subject Classification ID: 46E35
zbMATH DE Number: 1300152
zbMATH Keywords: integral representation
zbMATH Keywords: vector field gradient
zbMATH Keywords: growth condition
zbMATH Keywords: Carnot-Carathéodory vector fields
reviewed by: Stanisław Wedrychowicz
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1300152