Now showing items 1-3 of 3
On non-metric covering lemmas and extended Lebesgue-differentiation theorem
(Science Domain International;http://www.sciencedomain.org, 2015-03-28)
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.
On natural characterizations of tensor integrability
(Science Domain International, http://www.sciencedomain.org/, 2015-05-04)
We revisit the deﬁnition of the tensor integrability introduced in , and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we ...
On the Riesz representation theorem and integral operators
(NISC (Pty) Ltd, http://www.nisc.co.za/, 2015-12-14)
We present a Riesz representation theorem in the setting of extended integration theory as introduced in . The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ...