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

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume64
Issue number3
DOIs
Publication statusPublished - 1 Mar 2020

Keywords

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

Fingerprint Dive into the research topics of 'On Changing Variables in L <sup>p</sup>-Spaces with Distributed-Microstructure'. Together they form a unique fingerprint.

Cite this