The star function for meromorphic functions of several complex variables

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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Bibliographic Details
Published in:Complex variables and elliptic equations Vol. 64; no. 1; pp. 26 - 39
Main Authors: Abi-Khuzam, Faruk, Bertrand, Florian, Della Sala, Giuseppe
Format: Journal Article
Language:English
Published: Colchester Taylor & Francis 02.01.2019
Taylor & Francis Ltd
Subjects:
Baernstein star function
Complex variables
Functionals
Harmonic functions
Mathematical analysis
Meromorphic function in several variables
Meromorphic functions
subharmonic function
ISSN:1747-6933, 1747-6941
Online Access:Get full text
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Description
Summary: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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ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2017.1410797