article Open access
Nowhere differentiable functions of analytic type on products of finitely connected planar domains
Vlasios Mastrantonisa b c✉, C. Panagiotisd e
- aDepartment of Mathematics, University of Athens, Panepistimioupolis, 157 84, Athens, Greece
- bDPMMS, University of Cambridge, Centre for Mathematical Sciences, Cambridge, UK
- cDepartment of Mathematics, University of Athens, Athens, Greece
- dMathematics Institute, University of Warwick, Coventry, CV4 7AL, UK
- eMathematics Institute , University of Warwick , Coventry , UK
- ✉Corresponding author
Looking for the full paper…
Papers open inside SciRah from the original publisher or repository; SciRah never hosts them.
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.

