کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616489 1339351 2013 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Biholomorphic convex mappings of order αα on the unit ball in Hilbert spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Biholomorphic convex mappings of order αα on the unit ball in Hilbert spaces
چکیده انگلیسی

In this paper, we introduce the concept of biholomorphic convex mapping of order αα on the unit ball BB in a complex Hilbert space XX. Then we provide some sufficient conditions that a locally biholomorphic mapping ff is a biholomorphic convex mapping of order αα; we give an Alexander type theorem between the subclass of convex mappings and the subclass of starlike mappings on BB in a Hilbert space. We also study the order of starlikeness of biholomorphic convex mappings of order αα on BB in a Hilbert space. Finally, we construct some examples of biholomorphic convex mappings of order αα on BB in a Hilbert space by a linear operator.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 406, Issue 1, 1 October 2013, Pages 75–85
نویسندگان
, ,