Journal of Advances in Mathematics and Computer Science

On Non-metric Covering Lemmas and Extended Lebesgue-differentiation Theorem

Mangatiana A. Robdera *

Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana.

*Author to whom correspondence should be addressed.

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Abstract

We give a non-metric version of the Besicovitch Covering Lemma and an extension of the Lebesgue-Differentiation Theorem into the setting of the integration theory of vector valued functions.

Keywords: Covering lemmas, vector integration, Hardy-Littlewood maximal function, Lebesgue differentiation theorem

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