1403/10/26
محمدرضا عظیمی

محمدرضا عظیمی

مرتبه علمی: دانشیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم پایه
نشانی:
تلفن:

مشخصات پژوهش

عنوان
پON REDUCIBILITY OF WEIGHTED COMPOSITION OPERATORS
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Reducing subspace, weighted composition operators, condi- tional expectation.
سال
2017
مجله Bulletin of the Iranian Mathematical Society
شناسه DOI
پژوهشگران Mohammad Reza Azimi ، ،

چکیده

In this paper, we study two types of the reducing subspaces for the weighted composition operator W : f ! u  f ◦ φ on L2(). A necessary and sufficient condition is given for W to possess the reducing subspaces of the form L2(B) where B 2 (u). Moreover, we pose some necessary and some sufficient conditions under which the subspaces of the form L2(A) reduce W. All of these are basically discussed using the con- ditional expectation properties. To explain the results, some examples are then presented.