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

作者：Marola Niko^*; Ziemer William P

来源：Journal of the Mathematical Society of Japan, 2015, 67(2): 561-579.

DOI：10.2969/jmsj/06720561

• area formula
• condition N
• doubling measure
• Luzin's condition
• metric space
• Newtonian space
• Poincare inequality
• Sobolev space
• upper gradient

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

• 出版日期2015-4