Univalently Induced, Closed Range, Composition Operators on the Bloch-type Spaces

Canadian mathematical bulletin

Nina Zorboska¹ 

[1] Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2

关键词: composition operators;    Bloch-type spaces;    closed range;    univalent;   

DOI  :  10.4153/CMB-2011-065-4

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

While there is a large variety of univalently induced closed rangecomposition operators on the Bloch space, we show that the only univalently induced, closed range, compositionoperators on the Bloch-type spaces $B^{alpha}$ with $alpha e 1$are the ones induced by a disc automorphism.

【 授权许可】

Unknown