Difference of generalized integration operators on the space of Cauchy transforms

ABSTRACT

In this paper, the boundedness and compactness of the differences of generalized integration operators from the space of Cauchy integral transforms to the Bloch-type spaces and the weighted Dirichlet spaces are investigated.

KEYWORDS:

• Difference of generalized integration operator
• Cauchy transforms space
• Bloch-type space
• weighted Dirichlet space

AMS SUBJECT CLASSIFICATIONS:

• Primary: 47B33
• Secondary: 30D55
• 46E15

Acknowledgements

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

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is partially supported by National Science Foundation of China (NSFC) [grant number 11771340], [grant number 11431011], [grant number 11471251].