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A note on characteristic equation of Toeplitz operators on the spaces Ak

Published online by Cambridge University Press:  22 January 2016

Guangfu Cao*
Affiliation:
Department of Mathematics, Sichuan University, Chengdu 610064, China
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Let k be any integer, k > 0. The k-th Bergman measure on unit ball B of Cn, μk, is given by

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1996

References

[ 1 ] Rudin, W., Function Theory in the Unit Ball of C , Springer-verlag, New York Heidelberg Berlin, 1980.Google Scholar
[ 2 ] Davie, A. M. and Jewell, N. P., Toeplitz operators in several complex variables. J. Funct. Anal., 26 (1977), 356368.Google Scholar
[ 3 ] Yu, D. H. and Sun, Sh. S., The w *-closure of operator space, Acta Math, of China (to appear).Google Scholar
[ 4 ] Jewell, N. P., Toeplitz operators on the Bergman spaces and in several complex Variables, Proc. London Math. Soc, 41 (1980), 193216.Google Scholar
[ 5 ] Frankfurt, R., Operator equations and weigted shifts, J. Funct. Anal., 62 (1978) 610619.Google Scholar