Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces

Niko Marola; William P. Ziemer

doi:10.2969/jmsj/06720561

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Aspects of area formulas by way of Luzin, Radó, and Reichelderfer on metric measure spaces

Niko Marola, William P. Ziemer

著者情報

キーワード: area formula, condition N, doubling measure, Luzin's condition, metric space, Newtonian space, Poincaré inequality, Sobolev space, upper gradient

ジャーナルフリー

2015 年 67 巻 2 号 p. 561-579

DOI https://doi.org/10.2969/jmsj/06720561

詳細

抄録

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.