مشخصات پژوهش

صفحه نخست /پON REDUCIBILITY OF WEIGHTED ...
عنوان پON REDUCIBILITY OF WEIGHTED COMPOSITION OPERATORS
نوع پژوهش مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها Reducing subspace, weighted composition operators, condi- tional expectation.
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.
پژوهشگران مهری جعفری (نفر سوم)، محمدرضا جبارزاده (نفر دوم)، محمدرضا عظیمی (نفر اول)