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arXiv · 1701.09093

The star function for meromorphic functions of several complex variables

Faruk Abi-Khuzam·Florian Bertrand·Giuseppe Della Sala
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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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Faruk Abi-Khuzam, Florian Bertrand, Giuseppe Della Sala. 2017-01-31. The star function for meromorphic functions of several complex variables. https://arxiv.org/abs/1701.09093

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