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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.