Translator Disclaimer
VOL. 44 | 2006 Sobolev type spaces on metric measure spaces
Nageswari Shanmugalingam

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Abstract

The aim of this note is to summarise some of the approaches to extending Sobolev space theory to metric measure spaces. In particular, we will give a brief survey of Hajłasz-Sobolev, Newton-Sobolev, and the Korevaar-Schoen type Sobolev spaces on metric measure spaces.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1120.31004
MathSciNet: MR2277824

Digital Object Identifier: 10.2969/aspm/04410077

Subjects:
Primary: 31C45

Rights: Copyright © 2006 Mathematical Society of Japan

PROCEEDINGS ARTICLE
14 PAGES


SHARE
Back to Top