Open Access
April, 2015 Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces
Niko MAROLA, William P. ZIEMER
J. Math. Soc. Japan 67(2): 561-579 (April, 2015). DOI: 10.2969/jmsj/06720561

Abstract

We consider some measure-theoretic properties of functions belonging to a Sobolev-type class on metric measure spaces that admit a Poincaré inequality and are equipped with a doubling measure. The properties we have selected to study are those that are related to area formulas.

Citation

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Niko MAROLA. William P. ZIEMER. "Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces." J. Math. Soc. Japan 67 (2) 561 - 579, April, 2015. https://doi.org/10.2969/jmsj/06720561

Information

Published: April, 2015
First available in Project Euclid: 21 April 2015

zbMATH: 1339.46035
MathSciNet: MR3340186
Digital Object Identifier: 10.2969/jmsj/06720561

Subjects:
Primary: 46E35 , 46E40
Secondary: 28A99 , 30L99

Keywords: area formula , condition N , doubling measure , Luzin's condition , metric space , Newtonian space , Poincaré inequality , Sobolev space , upper gradient

Rights: Copyright © 2015 Mathematical Society of Japan

Vol.67 • No. 2 • April, 2015
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