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Explores geometric properties of mappings with a bounded Dirichlet integral, suggesting new insights into complex analysis.
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.
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Mihai Cristea (2026) studied this question.
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