Phragmén-Lindelöf principles for generalized analytic functions on unbounded domains (Q5963713)
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scientific article; zbMATH DE number 6544402
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Phragmén-Lindelöf principles for generalized analytic functions on unbounded domains |
scientific article; zbMATH DE number 6544402 |
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Phragmén-Lindelöf principles for generalized analytic functions on unbounded domains (English)
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23 February 2016
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The authors study solutions of the equation \(\overline{\partial}w =\alpha\overline{w}\) in unbounded domains \(\Omega\). They establish restrictions on the coefficient \(\alpha\) ensuring validity of the inequality \(|w(z)|\leq\sup\{|w(\zeta)|: \zeta\in\partial\Omega\}\) for any \(z\in\Omega\).
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Phragmén-Lindelöf principle
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generalized analytic function
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pseudoanalytic function
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three-lines theorem
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