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On Changing Variables in Lp-Spaces with Distributed-Microstructure

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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.

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Funding

The work was supported by Russian Foundation for Basic Research (project no. 18-31-00089).

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 4 Ac. Koptyug Ave., Novosibirsk, 630090, Russia

    N. A. Evseev & A. V. Menovschikov

  2. Novosibirsk State University, 1 Pirogov str., Novosibirsk, 630090, Russia

    N. A. Evseev & A. V. Menovschikov

Authors
  1. N. A. Evseev
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  2. A. V. Menovschikov
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Corresponding authors

Correspondence to N. A. Evseev or A. V. Menovschikov.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 3, pp. 92–97.

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Evseev, N.A., Menovschikov, A.V. On Changing Variables in Lp-Spaces with Distributed-Microstructure. Russ Math. 64, 82–86 (2020). https://doi.org/10.3103/S1066369X20030093

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  • DOI: https://doi.org/10.3103/S1066369X20030093

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