On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space (Q855423)
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scientific article; zbMATH DE number 5077889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space |
scientific article; zbMATH DE number 5077889 |
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On \(\epsilon\) quasi-convex mappings in the unit ball of a complex Banach space (English)
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7 December 2006
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The authors introduce a new class of biholomorphic mappings named \(\varepsilon\) quasi-convex mappings in the unit ball of a complex Banach space. They generalize the definition of an \(\varepsilon\)-starlike mapping from \(\varepsilon\in [0,1]\) to \(\varepsilon\in [-1,1]\). Some properties of \(\varepsilon\) quasi-convex mappings are obtained. Some concrete examples of \(\varepsilon\) quasi-convex mappings or \(\varepsilon\)-starlike mappings for \(\varepsilon\in [-1,1]\) in Banach spaces are also given.
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biholomorphic convex mapping
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biholomorphic starlike mapping
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quasi-convex mapping
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0.9611963
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0.9546053
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0.9287979
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0.92584795
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0.9250545
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0.9197242
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