文章基本信息

标题：Finite rank intermediate Hankel operators and the big Hankel operator
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作者：Tomoko Osawa
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2006
卷号：2006
DOI：10.1155/IJMMS/2006/51705
出版社：Hindawi Publishing Corporation
摘要：Let La2 be a Bergman space. We are interested in an intermediate Hankel operator HφM from La2 to a closed subspace M of L2 which is invariant under the multiplication by the coordinate function z. It is well known that there do not exist any nonzero finite rank big Hankel operators, but we are studying same types in case HφM is close to big Hankel operator. As a result, we give a necessary and sufficient condition about M that there does not exist a finite rank HφM except HφM=0.