On the proximity of a spatial quasiconformal mapping of order \(p\) to a conformal one. Estimates of derivatives (Q1360839)
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scientific article; zbMATH DE number 1037953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the proximity of a spatial quasiconformal mapping of order \(p\) to a conformal one. Estimates of derivatives |
scientific article; zbMATH DE number 1037953 |
Statements
On the proximity of a spatial quasiconformal mapping of order \(p\) to a conformal one. Estimates of derivatives (English)
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22 July 1997
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In the paper under review, classes of quasiconformal mappings of order \(p\) are introduced. By definition, the derivatives of order \(\leq p\) of mappings in these classes equal to the corresponding derivatives of compositions of affine, Möbius and stretching mappings. In the case \(p = 1\), the definition given by the author coincides with the usual definition of a quasiconformal mapping. Stability of quasiconformal mappings of order \(p\) is proved and estimates for their deviations from the Möbius transformations are obtained.
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quasiconformal mapping
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Möbius transformations
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Mobius transformation
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