On Changing Variables in Lp-Spaces with Distributed-Microstructure
Nikita Aleksandrovich Evseev, Alexander Menovschikov · Russian Mathematics · 2020
We study the boundedness of the composition operator in the spaces L p ( V, W 1, r ( Y v )). Such spaces arise when modeling the transport processes in a porous medium. It is assumed that the operator is induced by a mapping preserving the priority of the variables, which agrees with the physical requirements for the model.