2008•Journal of Hanshan Normal UniversityRequires access

The Volterra Operator Between Bloch Type Analytic Function Spaces

Dan Qu

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Abstract

In this paper,the boundedness and compactness of the Volterra operator from the logarithmic Bloch space to the Bloch space are characterized,and the necessary and sufficient conditions are given which J_φis a bounded and compact operator from B_L to B.

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What this paper is about

In this paper,the boundedness and compactness of the Volterra operator from the logarithmic Bloch space to the Bloch space are characterized,and the necessary and sufficient conditions are given which J_φis a bounded and compact operator from B_L to B.

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Available abstract

In this paper,the boundedness and compactness of the Volterra operator from the logarithmic Bloch space to the Bloch space are characterized,and the necessary and sufficient conditions are given which J_φis a bounded and compact operator from B_L to B.

Key concepts: Compact space, Mathematics, Bounded function, Operator (biology), Logarithm, Bloch space, Compact operator, Type (biology)

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