Nowhere differentiable functions of analytic type on products of finitely connected planar domains

被引：0

作者：

Vlasios Mastrantonis

Christoforos Panagiotis

机构：

[1] University of Athens,Department of Mathematics

[2] University of Cambridge,DPMMS

[3] Centre for Mathematical Sciences,Mathematics Institute

[4] University of Warwick,undefined

来源：

Monatshefte für Mathematik | 2018年 / 187卷

关键词：

Nowhere differentiable functions; Baire’s theorem; Riemann mapping; Rational approximation; Several complex variables; Laurent decomposition; Primary 26A27; Secondary 30H50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using Laurent decomposition and Mergelyan’s theorem combined with Baire’s category theorem, we prove generic nowhere differentiability on the distinguished boundary of functions of analytic type on products of planar domains bounded by finitely many disjoint Jordan curves. The parametrization of the boundaries are those induced by the natural Riemann maps.

引用

页码：327 / 341

页数：14

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