On the size of balls covered by analytic transformations |
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| Authors: | Prof Lawrence A Harris |
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| Institution: | (1) Department of Mathematics College of Arts and Sciences, University of Kentucky, 40506 Lexington, KY, USA |
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| Abstract: | Two quantitative forms of the inverse function theorem giving estimates on the size of balls covered biholomorphically are proved for holomorphic mappings of a ball in a Banach space into the space. Also, a Bloch theorem forK-quasiconformal mappings on the open unit ball of a Banach space is given and some mapping properties ofK-quasiconformal mappings are deduced.Research supported by N. S. F. Grant GP-33117A-2. |
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