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
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
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 âf(b)âf(a)â for a,bâB and fâF.) 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
Journal: Journal of Mathematical Analysis and Applications - Volume 417, Issue 1, 1 September 2014, Pages 23-41
نویسندگان
Jerry R. Jr.,