کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4582581 1333828 2007 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On composition operators acting between Hardy and weighted Bergman spaces
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
On composition operators acting between Hardy and weighted Bergman spaces
چکیده انگلیسی

We present a unified approach to some known and some new criteria for the boundedness and compactness of composition operators mapping a weighted Bergman space Aαp into another weighted Bergman space Aβq, where q⩾pq⩾p and α,β>-1α,β>-1, also obtaining some asymptotic formulas for the essential norm. The results are also valid in the limit cases when at least one of the spaces is a Hardy space (i.e., when αα or β=-1β=-1) and complement the existing results by various authors.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 25, Issue 4, 1 November 2007, Pages 309–323
نویسندگان
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