The star function for meromorphic functions of several complex variables
Complex Variables
2017-02-01 v1
Abstract
We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f.We then characterize meromorphic functions admitting a harmonic star function.
Cite
@article{arxiv.1701.09093,
title = {The star function for meromorphic functions of several complex variables},
author = {Faruk Abi-Khuzam and Florian Bertrand and Giuseppe Della Sala},
journal= {arXiv preprint arXiv:1701.09093},
year = {2017}
}