On the Differential Structure of Metric Measure Spaces and Applications (Memoirs of the American Mathematical Society)

by Nicola Gigli

The main goals of this paper are: (i) To develop an abstract differential calculus on metric measure spaces by investigating the duality relations between differentials and gradients of Sobolev functions. This will be achieved without calling into play any sort of analysis in charts, our assumptions being: the metric space is complete and separable and the measure is Radon and non-negative. (ii) To employ these notions of calculus to provide, via...

• Format: Paperback
• Language: English
• ISBN: 1470414201
• ISBN13: 9781470414207
• Release Date: July 2015
• Publisher: Amer Mathematical Society
• Length: 91 Pages
• Weight: 0.36 lbs.
• Dimensions: 9.8" x 0.3" x 7.0"