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Type: BOOK - Published: 2015-06-26 - Publisher: American Mathematical Soc.

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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 diffe
Sobolev Spaces on Metric Measure Spaces
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This coherent treatment from first principles is an ideal introduction for graduate students and a useful reference for experts.
Metric In Measure Spaces
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Measure and metric are two fundamental concepts in measuring the size of a mathematical object. Yet there has been no systematic investigation of this relation.
New Trends on Analysis and Geometry in Metric Spaces
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This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by
Gradient Flows
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Authors: Luigi Ambrosio
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The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability meas