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On Weak Vitali Covering Properties

Published online by Cambridge University Press:  20 November 2018

B. S. Thomson
B. S. Thomson*
Affiliation:
Mathematics Department, Simon Fraser University, Burnaby, B.C.Canada V5A 1S6
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There are now a number of Vitali covering properties which have been defined to handle problems arising in differentiation theory. Although some of these have received a unified treatment, as for example in the setting of Orlicz spaces in [1, p. 168], the underlying simplicity can be lost and the intimate connection with the original weak Vitali covering property of de Possel obscured. In this note we present an exposition of a family of covering properties and show how the original methods of de Possel in [4] can be pushed to provide an exact solution of the problem of determining necessary and sufficient covering properties for a basis which is known to differentiate a given class of integrals.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 21 , Issue 3 , 01 September 1978 , pp. 339 - 345
Copyright
Copyright © Canadian Mathematical Society 1978

References

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