Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces

Details Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces

2012-01-21

arxiv.org/abs/1201.4475v1

Mathematics

Complex Variables

15 pages

Scientific paper

In this paper, we first introduce the concept of biholomorphic convex mapping of order alpha on the unit ball B in a complex Hilbert space X. Next we provide some sufficient conditions that a locally biholomorphic mapping f is a biholomorphic convex mapping of order alpha and give an Alexander's theorem between the subclass of convex mappings and the subclass of starlike mappings on B in Hilbert space. We also obtain the order of starlikeness of biholomorphic convex mappings of order alpha on B in Hilbert spaces. Finally, we construct some concrete examples of biholomorphic convex mappings of order alpha on B in Hilbert spaces by means of a linear operator.

Affiliated with

Also associated with

No associations

Rating

Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Biholomorphic Convex Mappings of Order alpha on the Unit Ball in Hilbert Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-134976