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Composition Operators on Sobolev Spaces and Q-Homeomorphisms

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In this paper, we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. Based on this, we obtain measure distortion properties of Q-homeomorphisms.

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Acknowledgements

The authors thank the reviewer for a careful reading of the paper and really valuable comments.

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Authors and Affiliations

  1. Department of Mathematics, University of Hradec Králové, Rokitanského 62, Hradec Králové, 500 03, Czech Republic

    Alexander Menovschikov

  2. Department of Mathematics, Ben-Gurion University of the Negev, P.O.Box 653, Beer Sheva, 8410501, Israel

    Alexander Menovschikov & Alexander Ukhlov

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  1. Alexander Menovschikov
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  2. Alexander Ukhlov
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Correspondence to Alexander Ukhlov.

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Communicated by Pekka Koskela.

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A. Menovschikov was supported by the grant GAČR 20-19018Y.

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Menovschikov, A., Ukhlov, A. Composition Operators on Sobolev Spaces and Q-Homeomorphisms. Comput. Methods Funct. Theory 24, 149–162 (2024). https://doi.org/10.1007/s40315-023-00484-6

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  • DOI: https://doi.org/10.1007/s40315-023-00484-6

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