We generalize some earlier extensions of the modular inequality of Poleckii, which is a basic tool in the geometric theory of mappings. Used first in the well-known theory of quasiregular mappings, it was successfully used also for more general classes of mappings. Indeed, the mappings satisfying a Poleckii's modular inequality are the usual examples in the class of the mappings satisfying generalized modular inequalities, a class which was intensively studied in the last 15 years.

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关于 Poleckii 型模不等式

我们概括了 Poleckii 模不等式的一些早期扩展，它是映射几何理论中的基本工具。它首先用于著名的拟正则映射理论，它也成功地用于更一般的映射类。实际上，满足 Poleckii 模不等式的映射是满足广义模不等式的映射类中的常见示例，该类在过去 15 年中得到了深入研究。