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Asymptotic Maximum Principles for Subharmonic Functions

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Abstract

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.

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Correspondence to Stephen J. Gardiner.

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Dedicated to Walter Hayman on the occasion of his 80th birthday

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Gardiner, S.J. Asymptotic Maximum Principles for Subharmonic Functions. Comput. Methods Funct. Theory 8, 167–172 (2008). https://doi.org/10.1007/BF03321680

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  • DOI: https://doi.org/10.1007/BF03321680

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