Selected topics on Analysis in Metric Spaces by Luigi AmbrosioSelected topics on Analysis in Metric Spaces by Luigi Ambrosio

Selected topics on Analysis in Metric Spaces

byLuigi Ambrosio

Paperback | October 1, 2000

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These notes originated from a course given by the first author in 1998/99 in the Scuola Normale Superiore of Pisa. The aim of the course was the presentation of the main mathematical prerequisites needed for the so-called Analysis in Metric Spaces. The exposition, though not fully self contained, covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, Sobolev spaces; all these topics are developed in a general metric setting. We also discuss in detail the geodesic problem and the Gromov-Hausdorff convergence. The last chapter contains a brief, but very general, description of the theory of integration with respect to nondecreasing set functions.
Title:Selected topics on Analysis in Metric SpacesFormat:PaperbackDimensions:133 pagesPublished:October 1, 2000Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:887642265X

ISBN - 13:9788876422652