In this paper we consider the block Toeplitz operators T_Φ on the weighted Bergman space A_α~2(D,C^n) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in...In this paper we consider the block Toeplitz operators T_Φ on the weighted Bergman space A_α~2(D,C^n) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Φ=F+G* with matrix-valued polynomial functions F and G with degree 2.展开更多
基金supported by Basic Science Research Program through the National Research Foundation of Korea(NRF)funded by the Ministry of Education(2009-0093827)
文摘In this paper we consider the block Toeplitz operators T_Φ on the weighted Bergman space A_α~2(D,C^n) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Φ=F+G* with matrix-valued polynomial functions F and G with degree 2.
