کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630753 | 1340606 | 2011 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Composition operators from the space of Cauchy transforms to Bloch and the little Bloch-type spaces on the unit disk
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Composition operators from the space of Cauchy transforms to Bloch and the little Bloch-type spaces on the unit disk Composition operators from the space of Cauchy transforms to Bloch and the little Bloch-type spaces on the unit disk](/preview/png/4630753.png)
چکیده انگلیسی
We completely characterize the boundedness and compactness of composition operators from the space of Cauchy transforms on the unit disk DD, into the Bloch-type space BνBν as well as the little Bloch-type space Bν,0Bν,0, consisting respectively of all holomorphic functions f on DD such that supz∈Dν(z)|f′(z)|<∞supz∈Dν(z)|f′(z)|<∞, that is, of all holomorphic functions f on DD such that lim|z|→1ν(z)|f′(z)|=0lim|z|→1ν(z)|f′(z)|=0, for some weight function νν. As a byproduct of our results, norm of the operator is calculated when BνBν is replaced by Bν/CBν/C.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 24, 15 August 2011, Pages 10187–10194
Journal: Applied Mathematics and Computation - Volume 217, Issue 24, 15 August 2011, Pages 10187–10194
نویسندگان
Stevo Stević, Ajay K. Sharma,