Computational Methods and Function Theory 8 (2008), No. 1, 167--172
Copyright Heldermann Verlag 2008
Stephen J. Gardiner
stephen.gardiner@ucd.ie , University College Dublin, School of Mathematical Sciences, Belfield, Dublin 4, Ireland.
This note presents maximum principles for subharmonic functions, based on asymptotic behaviour, in both the Euclidean and Martin boundary settings. Several known results are generalized.
Keywords: Subharmonic function, maximum principle, asymptotic value, Martin boundary, minimal fine limit.
MSC 2000: 31B25, 31C35, 31C40.
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