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Extending classical criteria for differentiation theorems

Part of: Classical measure theory

Published online by Cambridge University Press:  26 February 2010

Flemming Topsøe
Flemming Topsøe
Affiliation:
Department of Mathematics, Universitetsparken 5, 2100 Copenhagen Ø, Denmark.
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Abstract

A basic notion in the classical theory of differentiation is that of a differentiation base. However, some differentiation type theorems only require the less restricted notion of a contraction. We demonstrate that the classical criteria, such as the covering criteria of de Possel, continue to hold in the new setting.

MSC classification

Secondary: 28A15: Abstract differentiation theory, differentiation of set functions
Type
Research Article
Information
Mathematika , Volume 32 , Issue 1 , June 1985 , pp. 68 - 74
Copyright
Copyright © University College London 1985

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References

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