一类不变的Hankel算子的Cut-off现象

The Cut-off Phenomena of A kind of Invariant Hankel Operators

对于Ｌα，２（Ｄ）的两类Ｍｏｅｂｉｕｓ不变子空间Ａα，２ｌ（Ｄ）与Ａα，２ｌ（Ｄ），我们定义了大、小ＨａｎＫｅｌ算子Ｈｌｌ′ｂ与ｈｌ′ｂ，并且研究了它们的有界性，紧性及Ｓｃｈａｔｅｎ－ｖｏｎＮｅｕｍａｎｎ性质．

For two kind of the Mebius Invariant subspaces A α,2 l(D) and α,2 l(D) of L α,2 (D),We define big and small Hankel operators H ll′ b and h ll′ b,and study their boundedness,compactness and schatten von Neumann classes Sp estimates,and then the Schatten von Neumann properties of these operators are developed in this way.