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Essential Norms of Weighted Composition Operators from Bloch-Type Space to \(H^\infty \) on the Unit Ball

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Abstract

In this paper, we express the essential norm of a weighted composition operator from a Bloch-type space to \(H^\infty \) on the unit ball. Moreover, we obtain the parallel results for the weighted composition operator which acts from the Bloch-type space to a weighted-type space.

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Acknowledgments

The author thanks the referee for his (her) valuable suggestions. This research is supported by the NNSF of China (Nos. 11101139, 11271124, 11301136), the NSF of Zhejiang province (No. LY14A010017) and the NSF of Hebei province (No. A2014205069).

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Authors and Affiliations

  1. Department of Mathematics, Huzhou Teachers College, Zhejiang, 313000, People’s Republic of China

    Xiaomin Tang

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  1. Xiaomin Tang
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Correspondence to Xiaomin Tang.

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Communicated by T. Kaptanoglu.

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Tang, X. Essential Norms of Weighted Composition Operators from Bloch-Type Space to \(H^\infty \) on the Unit Ball. Complex Anal. Oper. Theory 9, 229–244 (2015). https://doi.org/10.1007/s11785-014-0410-2

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