Asymptotic maximum principles for subharmonic functions (Q934537)
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scientific article; zbMATH DE number 5305530
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic maximum principles for subharmonic functions |
scientific article; zbMATH DE number 5305530 |
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Asymptotic maximum principles for subharmonic functions (English)
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29 July 2008
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The short note under review deals with the maximum principle for subharmonic functions. The maximum principle in the Euclidean setting proven in [\textit{B. Fuglede}, Math. Ann. 213, 261--274 (1975; Zbl 0283.31001)] and the maximum principle in the Martin boundary setting proven in [\textit{L. Naïm}, Ann. Inst. Fourier 7, 183--281 (1957; Zbl 0086.30603)] are generalized. The concepts of asymptotic values and of asymptotic tracts are used in the formulation of the new maximum principles. The paper is well written.
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subharmonic function
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maximum principle
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asymptotic value
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Martin boundary
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minimal fine limit
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