Duality of fully measurable grand Lebesgue space

In this paper, we prove a Hölder’s type inequality for fully measurable grand Lebesgue spaces, which involves the notion of fully measurable small Lebesgue spaces. It is proved that these spaces are non-reflexive rearrangement invariant Banach function spaces. Moreover, under certain continuity assu...

Full description

Bibliographic Details
Main Authors: Pankaj Jain, Monika Singh, Arun Pal Singh
Format: Article
Language:English
Published: Elsevier 2017-04-01
Series:Transactions of A. Razmadze Mathematical Institute
Online Access:http://www.sciencedirect.com/science/article/pii/S2346809216300903