Propagation of smallness and uniqueness for harmonic and holomorphic functions (Q1921481)
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scientific article; zbMATH DE number 920931
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Propagation of smallness and uniqueness for harmonic and holomorphic functions |
scientific article; zbMATH DE number 920931 |
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Propagation of smallness and uniqueness for harmonic and holomorphic functions (English)
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24 June 1998
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The authors prove analogues of Hadamard's three circles theorem in the context of harmonic functions of \(n\geq 2\) variables and apply these results to prove uniqueness theorems of Phragmén-Lindelöf type. See also the papers by \textit{R. Brummelhuis} [J. Anal. Math. 65, 179-206 (1995; Zbl 0851.35020)] and \textit{N. Arakelian} and \textit{H. Shahgholian} [Bull. Lond. Math. Soc. 31, No. 6, 671-678 (1999; Zbl 0115.31004)].
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Hadamard's three circles theorem
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propagation of smallness
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0.821025013923645
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0.7793588638305664
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