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- Title
Criteria for Some Subclasses of Biholomorphic Starlike Mappings in Banach Spaces.
- Authors
Zhu, Y. C.
- Abstract
In this paper, some new subclasses of biholomorphic mappings named "strongly biholomorphic starlike mappings" are introduced, which arc subclasses of biholomorphic starlike mappings. We give some sufficient conditions for locally biholomorphic mappings defined on the unit ball B in a Hilbert space X or a Banach space X to be strongly biholomorphic starlike mappings. Some results about sufficient conditions for an analytic function in the complex plane C to be a starlike function are extended to Hilbert spaces or Banach spaces.
- Subjects
BIHOLOMORPHIC mappings; BANACH spaces; HOLOMORPHIC functions; STAR-like functions; HILBERT space
- Publication
Southeast Asian Bulletin of Mathematics, 2010, Vol 34, Issue 3, p579
- ISSN
0129-2021
- Publication type
Article