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.

Banach function space, Grand Sobolev space, Maximal function, Pointwise description

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.