多复变Toeplitz算子的等价性

ON EQUIVALENCE OF TOEPLITZ OPERATORS IN SEVERAL COMPLEX VARIABLES

设Ω表示ｎ维复空间Ｃｎ中的单位球Ｂｎ或单位多重圆盘Ｄｎ，本文讨论Ｈａｒｄｙ空间Ｈ２（Φ）上的解析Ｔｏｅｐｌｉｔｚ算子组与坐标乘子组的联合酉等价及Ｈｐ（Φ）上等距同构的Ｔｏｅｐｌｉｔｚ算子．

Let Ω denote the unit ball or the polydiscs of C n.The authors discussed the jiont unitary of the analytic Toeplitz operators tuple and the coordinate functions tuple on H 2(Ω). Also discussed the Toeplitz operators of isometric isomorphism on H P(Ω), where 1<p<∞,p≠2.