2015•Scientia Sinica MathematicaRequires access

Boundedness and compactness of the composition operators from u-Bloch space to v-Bloch space on the first Hua domains

Jianbing Su, Hui Li, Hao WANG

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Abstract

In this paper, we introduce a weighted Bloch space and discuss the boundedness and compactness of composition operators Cφ from the u-Bloch space βu(HEI) to the v-Bloch space βv(HEI), and obtain the necessary condition and sufficient condition on the boundedness and compactness of composition operators Cφ on the first Hua domains.

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What this paper is about

In this paper, we introduce a weighted Bloch space and discuss the boundedness and compactness of composition operators Cφ from the u-Bloch space βu(HEI) to the v-Bloch space βv(HEI), and obtain the necessary condition and sufficient condition on the boundedness and compactness of composition operators Cφ on the first Hua domains.

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Available abstract

In this paper, we introduce a weighted Bloch space and discuss the boundedness and compactness of composition operators Cφ from the u-Bloch space βu(HEI) to the v-Bloch space βv(HEI), and obtain the necessary condition and sufficient condition on the boundedness and compactness of composition operators Cφ on the first Hua domains.

Key concepts: Ampere, Physics, Thermodynamics, Current (fluid)

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