A Holomorphic Function with Given Almost All Boundary Values on a Domain with Holomorphic Support Function

Piotr Kot

Abstract

We give a new construction of holomorphic function with given almost all boundary values on a bounded strictly pseudoconvex domain Ω with the boundary of class C2. Next we use this construction to solve the Radon inversion problem and describe exceptional sets for square integrals of holomorphic functions along complex directions.

Author information

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

Piotr Kot

Instytut Matematyki, Politechnika Krakowska, ul. Warszawska 24, 31-155 Kraków, Poland

pkot@pk.edu.pl

Keywords

Inner function
Radon inversion problem

Mathematics Subject Classification

32A05, 32A35

Suggested citation

P. Kot. “A Holomorphic Function with Given Almost All Boundary Values on a Domain with Holomorphic Support Function.” Journal of Convex Analysis 14 (2007), No. 4, 693–704.