کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418011 | 1339319 | 2015 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Padé approximants, density of rational functions in Aâ(Ω) and smoothness of the integration operator
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
First we establish some generic universalities for Padé approximants in the closure Xâ(Ω) in the space Aâ(Ω) of all rational functions with poles off Ω¯. The closure Ω¯ of the domain ΩâC is taken with respect to the finite plane C. Next we give sufficient conditions on Ω so that Xâ(Ω)=Aâ(Ω). Some of these conditions imply that, even if the boundary âΩ of a Jordan domain Ω has infinite length, the integration operator on Ω preserves Hâ(Ω) and A(Ω) as well. We also give an example of a Jordan domain Ω and a function fâA(Ω), such that its antiderivative is not bounded on Ω. Finally we restate these results for Volterra operators on the open unit disc D and we complete them by some generic results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1514-1539
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1514-1539
نویسندگان
Vassili Nestoridis, Ilias Zadik,