Integral means and arclength inequalities for typically real logharmonic mappings (Q656687)
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scientific article; zbMATH DE number 5996981
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral means and arclength inequalities for typically real logharmonic mappings |
scientific article; zbMATH DE number 5996981 |
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Integral means and arclength inequalities for typically real logharmonic mappings (English)
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13 January 2012
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In this article, the authors study univalent logharmonic mappings. Following the papers by the first author [Int. J. Math. Math. Sci. 31, No. 1, 1--9 (2002; Zbl 1010.30016)] and \textit{A. Baernstein II} [Acta Math. 133, 139--169 (1996; Zbl 0315.30021)], they obtain some sharp integral means inequalities for typically real logharmonic mappings. Moreover, they determine an upper bound for arclenght in the same class of mappings.
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logharmonic mapping
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univalent mapping
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typically real mapping
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integral means
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arclength
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