On an integral-type operator from a weighted-type space to F(p,q,s) on the unit ball

Abstract

We characterize the boundedness and compactness of an integral-type operator introduced by S. Stević from a weighted-type space to F(p,q,s) space on the unit ball of ℂⁿ.

Keywords:

• integral-type operator
• composition operator
• weighted-type space
• F(p,q,s) space

AMS Subject Classifications:

• Primary: 47B38
• Secondary: 32A37
• 32H02
• 47G10
• 47B33

Acknowledgements

The authors would like to thank the referees for the useful comments and suggestions which improved the presentation of this paper.

Notes

Supported in part by the National Natural Science Foundation of China [grant number 11371276], [grant number 11301373], [grant number 1120133].