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<p>We study the geometric properties of the mappings having a bounded Dirichlet integral and we continue the new research on mappings satisfying an inverse Poletsky modular inequality. We extend on very general metric measure spaces the theorems of Phragmen-Lindelöf, Iversen-Tsuji and Koebe from the classical complex analysis and our results are new even for analytic mappings.</p>

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On mappings with a bounded Dirichlet integral

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月20日

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  • Mihai Cristea

摘要

We study the geometric properties of the mappings having a bounded Dirichlet integral and we continue the new research on mappings satisfying an inverse Poletsky modular inequality. We extend on very general metric measure spaces the theorems of Phragmen-Lindelöf, Iversen-Tsuji and Koebe from the classical complex analysis and our results are new even for analytic mappings.