On Changing Variables in L p-Spaces with Distributed-Microstructure

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We study the boundedness of the composition operator in the spaces Lp(V, W1, r(Yv)). 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.

Original languageEnglish
Pages (from-to)82-86
Number of pages5
JournalRussian Mathematics
Issue number3
Publication statusPublished - 1 Mar 2020


  • composition operator
  • direct integral of Banach spaces
  • Sobolev space

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