عنوان مجله
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Bulletin of the Iranian Mathematical Society
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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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