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