کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616026 1339336 2014 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-point distortion bounds for biholomorphic mappings of the ball in Cn
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Two-point distortion bounds for biholomorphic mappings of the ball in Cn
چکیده انگلیسی
Lower and upper two-point distortion bounds for families F of biholomorphic mappings on the unit ball B of Cn are given in terms of the (trace) order of the linear-invariant family generated by F, bounds on ratios involving the derivative and Jacobian of the mappings in F, and the Carathéodory distance on B. (By two-point distortion bounds, we mean estimates on ‖f(b)−f(a)‖ for a,b∈B and f∈F.) This immediately results in growth bounds for such mappings. A contrast is drawn between these bounds and two-point distortion bounds in terms of the norm order of the generated linear-invariant family. As part of our work, we develop a lower distortion bound for automorphisms of B that may be of independent interest.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 417, Issue 1, 1 September 2014, Pages 23-41
نویسندگان
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