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

Vlasios Mastrantonis; Christoforos Panagiotis

doi:10.1007/s00605-017-1129-8

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

Vlasios Mastrantonis, Christoforos Panagiotis

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (SciVal)

Abstract

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.

Original language	English
Pages (from-to)	327-341
Number of pages	15
Journal	Monatshefte fur Mathematik
Volume	187
Issue number	2
DOIs	https://doi.org/10.1007/s00605-017-1129-8
Publication status	Published - 1 Oct 2018

Bibliographical note

Publisher Copyright:
© 2017, The Author(s).

Funding

Supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 639046). Research was conducted at the University of Athens, Department of Mathematics.

Funders	Funder number
Horizon 2020 Framework Programme	639046
European Research Council

Keywords

Baire’s theorem
Laurent decomposition
Nowhere differentiable functions
Rational approximation
Riemann mapping
Several complex variables

ASJC Scopus subject areas

General Mathematics

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10.1007/s00605-017-1129-8Licence: CC BY

Cite this

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

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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