Selected topics on Analysis in Metric Spaces / Edition 1

Selected topics on Analysis in Metric Spaces / Edition 1

by Luigi Ambrosio, Paolo Till
ISBN-10:
887642265X
ISBN-13:
9788876422652
Pub. Date:
08/19/2013
Publisher:
Scuola Normale Superiore

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Overview

Selected topics on Analysis in Metric Spaces / Edition 1

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.

Product Details

ISBN-13: 9788876422652
Publisher: Scuola Normale Superiore
Publication date: 08/19/2013
Series: Publications of the Scuola Normale Superiore
Pages: 133
Product dimensions: 0.00(w) x 0.00(h) x 0.02(d)

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