کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4616791 1339359 2013 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Compact products of Toeplitz operators on the Dirichlet space of the unit ball
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Compact products of Toeplitz operators on the Dirichlet space of the unit ball
چکیده انگلیسی

We consider, on the Dirichlet space of the unit ball, operators which have the form of a finite sum of products of several Toeplitz operators and then give a characterization for which such an operator is compact. We show, as an application, that for n≥2n≥2, there is no nontrivial compact product of several Toeplitz operators with pluriharmonic symbols, which is a higher dimensional phenomenon whose one-variable analogue is false.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 401, Issue 2, 15 May 2013, Pages 654–658
نویسندگان
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