Abstract

We present a completely new construction of a holomorphic function whose real part has given radial limits a.e. on every slice. As an application, we obtain a holomorphic function which is inner on every slice.

Author information

Contact details are reproduced from the original publication and may be historical.

Piotr Kot

Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland

piotr.kot@agh.edu.pl

Keywords

  • Holomorphic function
  • inner function

Mathematics Subject Classification

32E30, 32E35

Suggested citation

P. Kot. “Zero Free Inner Function On Every Single Slice.” Journal of Convex Analysis 26 (2019), No. 1, 117–127. https://doi.org/10.68381/jca26008

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Published by Heldermann Verlag, 2019. Rights now held by Banach Press.