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Item Details
| Title:
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SELECTED TOPICS ON ANALYSIS IN METRIC SPACES
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| By: |
Luigi Ambrosio, Paolo Till |
| Format: |
Paperback |
| List price:
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£11.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
887642265X |
| ISBN 13: |
9788876422652 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Pub. date: |
1 October, 2000 |
| Series: |
Publications of the Scuola Normale Superiore |
| Pages: |
133 |
| Description: |
Intends to present the main mathematical prerequisites needed for the Analysis in Metric Spaces. This title covers abstract measure theory, Hausdorff measures, Lipschitz functions, covering theorems, Sobolev spaces. It discusses the geodesic problem and the Gromov-Hausdorff convergence. |
| Synopsis: |
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. |
| Illustrations: |
133 p. |
| Publication: |
Italy |
| Imprint: |
Scuola Normale Superiore |
| Returns: |
Returnable |
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