کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620149 1339455 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the isometric composition operators on the Bloch space in Cn
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
On the isometric composition operators on the Bloch space in Cn
چکیده انگلیسی

Let φ be a holomorphic self-map of a bounded homogeneous domain D in Cn. In this work, we show that the composition operator Cφ:f↦f○φ is bounded on the Bloch space B of the domain and provide estimates on its operator norm. We also give a sufficient condition for φ to induce an isometry on B. This condition allows us to construct non-trivial examples of isometric composition operators in the case when D has the unit disk as a factor. We then obtain some necessary conditions for Cφ to be an isometry on B when D is a Cartan classical domain. Finally, we give the complete description of the spectrum of the isometric composition operators in the case of the unit disk and for a wide class of symbols on the polydisk.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 355, Issue 2, 15 July 2009, Pages 675-688