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9788876422652

Selected Topics on "Analysis in Metric Spaces"

by ;
  • ISBN13:

    9788876422652

  • ISBN10:

    887642265X

  • Format: Paperback
  • Copyright: 2011-12-12
  • Publisher: Edizioni Della Normale
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Summary

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.

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