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Geometric measure theory: selected concepts, results and problems

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posted on 2023-06-08, 05:57 authored by Miroslav ChlebikMiroslav Chlebik
One of the main themes of geometric measure theory is the detailed study of geometric properties of general sets and Borel measures in Rn. The first decades after Carathéodory's fundamental paper in 1914 were spent studying how subsets of Rn behave with respect to m-dimensional measures, mainly Hausdorff-like. Geometric measure theory originates in the pioneering work done by Besicovitch on the structure of the subsets of the plane having finite one-dimensional Hausdorff measure.

History

Publication status

  • Published

Publisher

North-Holland

Volume

2

Page range

1011-1036

Pages

25.0

Book title

Handbook of measure theory

ISBN

9780444502636

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Editors

E Pap

Legacy Posted Date

2012-02-06

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