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math.FA2020
On grand Sobolev spaces and pointwise description of Banach function spaces
Pankaj Jain, Anastasia Molchanova, Monika Singh +1
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…
math.FA2019
A note on the continuity of minors in grand Lebesgue spaces
Anastasia Molchanova
We present a simple proof of the continuity, in the sense distributions, of the minors of the differential matrices of mappings belonging to grand Sobolev spaces. Such function spa…
math.FA2019
Regularity of the inverse mapping in Banach function spaces
Anastasia Molchanova, Tomáš Roskovec, Filip Soudský
We study the regularity properties of the inverse of a bilipschitz mapping belonging , where is an arbitrary Banach function space. Namely, we prove tha…