Extremal problems for harmonic mappings from the unit disc to convex regions (Q1802165)
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scientific article; zbMATH DE number 219118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extremal problems for harmonic mappings from the unit disc to convex regions |
scientific article; zbMATH DE number 219118 |
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Extremal problems for harmonic mappings from the unit disc to convex regions (English)
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28 February 1994
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Orientation preserving harmonic mappings from the unit disc to bounded convex regions are considered `optimally', in the sense that a certain linear functional is optimized. Sharp estimates for the Fourier coefficients of boundary values of such mappings are derived. This work is a continuation of the author's paper in Math. Nachr. 69, 173-190 (1975; Zbl 0277.52010).
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Orientation preserving harmonic mappings
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unit disc
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convex regions
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Fourier coefficients
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