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

Mangatiana A. Robdera

doi:10.9734/BJMCS/2015/16752

Research Article Open access CC BY 4.0

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

Mangatiana A. Robdera

Journal of Advances in Mathematics and Computer Science · pp. 220–228 · Published 28 Mar 2015

10.9734/BJMCS/2015/16752

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.

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

Cited by 2

On Cartesian Nets and Fubini-Tonelli Type Theorem

Department of Mathematics, University of Botswana, 4775 Notwane Road, Gaborone, Botswana, Mangatiana A. Robdera · International Journal of Applied Physics and Mathematics · 2017

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Mangatiana A. Robdera (2015). On Non-metric Covering Lemmas and Extended Lebesgue-differentiation Theorem. Journal of Advances in Mathematics and Computer Science , 220–228. https://doi.org/10.9734/BJMCS/2015/16752

Affiliations

Mangatiana A. Robdera — Department of Mathematics, University of Botswana, Private Bag 0022, Gaborone, Botswana.

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