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2015•arXiv (Cornell University)Open access

Norm and essential norm of a weighted composition operator on the Bloch space

Xiaosong Liu, Songxiao Li

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Abstract

We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on the Bloch space.

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What this paper is about

We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on the Bloch space.

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Available abstract

We give some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space. As corollaries, we obtain some new characterizations of the boundedness and compactness of a weighted composition operator on the Bloch space.

Key concepts: Compact space, Norm (philosophy), Bloch space, Mathematics, Operator norm, Dual norm, Pure mathematics, Compact operator

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