The star function for meromorphic functions of several complex variables

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. © 2017, © 2017 Informa UK Limited, trading as Taylor & Francis Group.