Subharmonic functions on annuli. A two-parameter approach (Q2850487)
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scientific article; zbMATH DE number 6212616
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subharmonic functions on annuli. A two-parameter approach |
scientific article; zbMATH DE number 6212616 |
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26 September 2013
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subharmonic function
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two-parameter approach
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Jensen theorem
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Nevanlinna characteristic
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Subharmonic functions on annuli. A two-parameter approach (English)
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The authors deal with subharmonic functions in the annulus \(A_{s,r} = \left\{ {z:\,\,s < \left| z \right| < r} \right\}\), \(s < 1 < r\). They propose a two-parameter approach to the problem and introduce a Nevanlinna characteristic of functions subharmonic in the annulus. The analogy to the Jensen theorem for subharmonic functions in the annulus is proved. An estimate of the maximum of a subharmonic function using its Nevanlinna characteristic is established.
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