One Radius Theorem Harmonic Function Theory

  • DIMITRA ALEXIOU Aristotle University of Thessaloniki

Abstract

The present paper deals with the study of harmonic and analytical functions. It deals with well-known and powerful theorems of the Complex Analysis and has as its central theme the One-Radius Theorem, somehow reversing the Mean Value theorem of harmonic functions. These considerations are set out in Mark A. Pinsky's article [ Mean Values and the Maximum Principle: A Proof in Search of More Theorems ].

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Published
2019-01-29