\(p\)-module of vector measures in domains with intrinsic metric on Carnot groups
type: Item
instance of: scholarly article
title: \(p\)-module of vector measures in domains with intrinsic metric on Carnot groups
zbMATH Open document ID: 1069.31003
author: Irina Markina
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2005-04-15T00:00:00Z
review text: The author defines the extremal length of horizontal vector measures on a Carnot group and studies capacities associated with linear subelliptic equations. The coincidence between the definition of the \(p\)-module of a horizontal vector measure system and two different definitions of the \(p\)-capacity is proved. It is shown the continuity property of a \(p\)-module generated by a family of horizontal vector measures. Reciprocal relations between the \(p\)-capacity and a \(q\)-module \((1/p+1/q=1)\) of horizontal vector measures are obtained. The peculiarity of the approach consists in the study of the above mentioned notions in domains with an intrinsic metric.
reviewed by: Lubomira Softova
Mathematics Subject Classification ID: 31C15
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 35H20
zbMATH DE Number: 2157244
zbMATH Keywords: Carnot group
zbMATH Keywords: extremal length
zbMATH Keywords: vector measure
zbMATH Keywords: Carnot-Carathéodory metric
zbMATH Keywords: capacity
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1113246750
OpenAlex ID: W2094999533
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DOI: 10.2748/TMJ/1113246750
description: scientific article; zbMATH DE number 2157244