加权Bergman空间上Toeplitz与Hankel算子紧性的一个新特征

A New Characterization of Compactness for the Toeplitz and Hankel Operators of the Weighted Bergman space

中文关键词:  加权Bergman空间  Toeplitz算子  Hankel算子  紧算子

英文关键词:weighted Bergman space  Toeplitz operator  Hankel operator  compact operator.

中文摘要:

      本文研究加权Ｂｅｒｇｍａｎ空间Ａ^{（ｐ，α）}（Ｂ）（ｐ＞１）上Ｔｏｅｐｌｉｔｚ与Ｈａｎｋｅｌ算子的紧性．证明了符号属于Ｌ^∞（Ｂ）的Ｔｏｅｐｌｉｔｚ与Ｈａｎｋｅｌ算子的紧性与作用空间Ａ^ｐ，α（Ｂ）无关

英文摘要:

      In this paper a study is given to the compactness of the Toeplitz and Hankel operators of the weighted Bergman space A ^p,α (p>1) . It is shown that the compactness of the Toeplitz and Hankel operators with symbol in L ^∞(B) does not depend on the weighted Bergman space A ^p,α (B)(p>1) .