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.
|Number of pages||15|
|Journal||Monatshefte für Mathematik|
|State||Published - Mar 1977|
ASJC Scopus subject areas
- Mathematics (all)