کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4615875 | 1339331 | 2014 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Compact and weakly compact composition operators from the Bloch space into Möbius invariant spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Compact and weakly compact composition operators from the Bloch space into Möbius invariant spaces Compact and weakly compact composition operators from the Bloch space into Möbius invariant spaces](/preview/png/4615875.png)
چکیده انگلیسی
We obtain exhaustive results and treat in a unified way the question of boundedness, compactness, and weak compactness of composition operators from the Bloch space into any space from a large family of conformally invariant spaces that includes the classical spaces like BMOA , QαQα, and analytic Besov spaces BpBp. In particular, by combining techniques from both complex and functional analysis, we prove that in this setting weak compactness is equivalent to compactness. For the operators into the corresponding “small” spaces we also characterize the boundedness and show that it is equivalent to compactness.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 415, Issue 2, 15 July 2014, Pages 713–735
Journal: Journal of Mathematical Analysis and Applications - Volume 415, Issue 2, 15 July 2014, Pages 713–735
نویسندگان
Manuel D. Contreras, Santiago Díaz-Madrigal, Dragan Vukotić,