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Abstract
Let denote the space of all holomorphic functions on the unit ball
of
,
and
be a holomorphic self-map of
. This paper studies the boundedness and compactness of the following extension of a Stević-Sharma operator
where is the radial derivative of
at
, from the mixed-norm space to weighted-type spaces on the unit ball.
Acknowledgements
The authors thank the referees for bringing important references to our attention and for their helpful suggestions which greatly improved the final version of this paper.
Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
This work was supported in part by the Natural Science Foundation of China [grant number 11171285] and the Foundation Research Project of Jiangsu Province of China [grant number BK20161158].