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Original Articles

Product-type operators from Zygmund spaces to Bloch-Orlicz spaces

Pages 1645-1664 | Received 31 Jul 2015, Accepted 23 Dec 2016, Published online: 09 Feb 2017
 

Abstract

Let be the open unit disk in the complex plane and the class of all analytic functions on . Let be an analytic self-map of and . In this paper, the boundedness and compactness for product-type operators from Zygmund spaces to Bloch–Orlicz spaces are characterized by constructing some new test functions in Zygmund spaces.

AMS Subject Classifications:

Acknowledgements

The author would like to express his sincere thanks to the anonymous referees for numerous comments which improved the presentation of this paper.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China [grant number 11201323]; the Cultivation Project of Sichuan University of Science and Engineering [grant number 2015PY04].

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