Products of Toeplitz Operators on a Vector Valued Bergman Space
نویسنده
چکیده
We give a necessary and a sufficient condition for the boundedness of the Toeplitz product TF TG∗ on the vector valued Bergman space L 2 a(C ), where F and G are matrix symbols with scalar valued Bergman space entries. The results generalize those in the scalar valued Bergman space case [4]. We also characterize boundedness and invertibility of Toeplitz products TF TG∗ in terms of the Berezin transform, generalizing results found by Zheng and Stroethoff for the scalar valued Bergman space [8].
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