Now showing items 1-2 of 2
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 cartesian nets and fubini-tonelli type theorem
(International Journal of Applied Physics and Mathematics, http://www.ijapm.org/, 2017-04)
The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions ...