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Original Articles

New essential norm estimates of weighted composition operators from H into the Bloch space

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Pages 600-615 | Received 02 Mar 2016, Accepted 26 Aug 2016, Published online: 21 Sep 2016
 

Abstract

In this paper, we give new essential norm estimates of weighted composition operators from into the Bloch space, where u is a function analytic on the unit disc and is an analytic self-map of . Moreover, a new characterization for the boundedness and compactness of the weighted composition operators is obtained by the nth power of the symbol and the Volterra operators and .

AMS Subject Classifications:

Acknowledgements

The authors are indebted to the referees for their helpful remarks.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This project was partially supported by the Macao Science and Technology Development Fund [grant number 083/2014/A2] and NSF of China [grant number 11371234].

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