The star function for meromorphic functions of several complex variables

2017/01/31 by Abi-Khuzam, Faruk, Bertrand, Florian, Della Sala, Giuseppe
#30D35 #32A20 #32A22 #32A30 #32A60 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1701.09093

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.

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