Publications in Scientific Journals:
P. Jain, M. Singh, S. Vodopyanov, A. Molchanova:
"On grand Sobolev spaces and pointwise description of Banach function spaces";
Nonlinear Analysis: Theory, Methods and Applications,
202
(2021),
1;
17 pages.
English 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:
Banach function space, Grand Sobolev space, Maximal function, Pointwise description
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.na.2020.112100
Created from the Publication Database of the Vienna University of Technology.