TY - JOUR
T1 - Products of Bergman space Toeplitz operators on the polydisk
AU - Choe, Boo Rim
AU - Lee, Young Joo
AU - Nam, Kyesook
AU - Zheng, Dechao
PY - 2007/2
Y1 - 2007/2
N2 - Motivated by recent works of Ahern and Čučković on the disk, we study the generalized zero product problem for Toeplitz operators acting on the Bergman space of the polydisk. First, we extend the results to the polydisk. Next, we study the generalized compact product problem. Our results are new even on the disk. As a consequence on higher dimensional polydisks, we show that the generalized zero and compact product properties are the same for Toeplitz operators in a certain case.
AB - Motivated by recent works of Ahern and Čučković on the disk, we study the generalized zero product problem for Toeplitz operators acting on the Bergman space of the polydisk. First, we extend the results to the polydisk. Next, we study the generalized compact product problem. Our results are new even on the disk. As a consequence on higher dimensional polydisks, we show that the generalized zero and compact product properties are the same for Toeplitz operators in a certain case.
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U2 - 10.1007/s00208-006-0034-6
DO - 10.1007/s00208-006-0034-6
M3 - Article
AN - SCOPUS:33751529226
SN - 0025-5831
VL - 337
SP - 295
EP - 316
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 2
ER -