Abstract. A result of K. Stroethoff and D. Zheng provides on the polydisk a necessary and sufficient condition for the Toeplitz product $T_fT_{\overline g}$ to be bounded on the unweighted Bergman space. We consider the same question on the vector weighted Bergman space of the unit polydisc.
DOI: 10.14232/actasm-012-777-1
AMS Subject Classification
(1991): 32A36, 47B35
Keyword(s):
Bergman spaces,
reproducing kernel,
Toeplitz operator
Received May 2, 2012, and in final form August 20, 2014. (Registered under 27/2012.)
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