The Commutants of Certain Toeplitz Operators on Weighted Bergman Spaces
نویسنده
چکیده
For α > −1, let A2α be the corresponding weighted Bergman space of the unit ball in C. For a bounded measurable function f , let Tf be the Toeplitz operator with symbol f on A 2 α. This paper describes all the functions f for which Tf commutes with a given Tg, where g(z) = z1 1 · · · z Ln n for strictly positive integers L1, . . . , Ln, or g(z) = |z1| s1 · · · |zn| nh(|z|) for non-negative real numbers s1, . . . , sn and a bounded measurable function h on [0, 1).
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تاریخ انتشار 2008