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Compact composition operators on Block spaces

Published online by Cambridge University Press:  17 April 2009

Chengji Xiong
Chengji Xiong
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing 210097, China Department of Mathematics, Huaiyin Teachers' College, Huiayin 223001, China, e-mail: [email protected]
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Abstract

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The present paper proposes new criteria for compactness of a composition operator Cφf = f ∘ φ on the Bloch space and the little Bloch space. For the case when φ is univalent, a criterion given by K. Madigan and A. Matheson is generalised.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 185 - 190
Copyright
Copyright © Australian Mathematical Society 2003

References

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