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<p>We obtain a description of homeomorphisms inducing bounded composition operators between Sobolev spaces whose functions are defined on metric measure spaces.As a consequence, we&#xa0;establish a characterization of quasiconformal mappings in metric measure spaces.</p>

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Composition Operators Between Sobolev Spaces on Metric Measure Spaces. I

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • D. A. Sboev

摘要

We obtain a description of homeomorphisms inducing bounded composition operators between Sobolev spaces whose functions are defined on metric measure spaces.As a consequence, we establish a characterization of quasiconformal mappings in metric measure spaces.