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

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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"

Related Subjects

Math Mathematics Science & Math

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

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