کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418848 1339362 2013 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weighted composition operators from the Besov spaces into the weighted-type space Hμ∞
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Weighted composition operators from the Besov spaces into the weighted-type space Hμ∞
چکیده انگلیسی

Let μ denote a positive continuous function on the open unit disk D. In this work, we characterize the bounded weighted composition operators from the analytic Besov spaces Bp (1≤p<∞) into the weighted-type space Hμ∞ consisting of the analytic functions on D such that supz∈Dμ(z)|f(z)|<∞ and determine their operator norms. We also determine the essential norm of the bounded weighted composition operators acting on the Dirichlet space and obtain explicit estimates when p=1. In the general case when the operator maps Bp into Hμ∞, we derive an approximation of the essential norm that yields a characterization of the compact weighted composition operators. Finally, we derive characterizations of the bounded and the compact weighted composition operators from the spaces of antiderivatives of functions in Bp and BMOA into the α-Bloch spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 2, 15 June 2013, Pages 594-611
نویسندگان
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