On grand Sobolev spaces and pointwise description of Banach function spaces
Functional Analysis
2020-08-13 v2
Abstract
We obtain a pointwise description of functions belonging to function spaces with the lattice property. In particular, it is valid for Banach function spaces provided that the Hardy-Littlewood maximal operator is bounded. We also study weighted grand Sobolev spaces, defined on arbitrary open sets (of finite or infinite measure), and provide pointwise description of them.
Keywords
Cite
@article{arxiv.2004.12712,
title = {On grand Sobolev spaces and pointwise description of Banach function spaces},
author = {Pankaj Jain and Anastasia Molchanova and Monika Singh and Sergey Vodopyanov},
journal= {arXiv preprint arXiv:2004.12712},
year = {2020}
}