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 for K-quasiconformal mappings on the open unit ball of a Banach space is given and some mapping properties of K-quasiconformal mappings are deduced.
Original language | English |
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Pages (from-to) | 9-23 |
Number of pages | 15 |
Journal | Monatshefte für Mathematik |
Volume | 83 |
Issue number | 1 |
DOIs | |
State | Published - Mar 1977 |
ASJC Scopus subject areas
- General Mathematics