Abstract
In this paper, we introduce pseudo-Carleson measure, a generalization of Carleson measure, for Fock spaces, and give sufficient and necessary conditions for a complex Borel measure to be pseudo-Carleson. We then give integral representations of functions in a Fock space, and use the measures to characterize boundedness and compactness of small Hankel operators on Fock spaces.
Funding Statement
This research was supported by NNSF of China (Grant No. 11971340).
Acknowledgments
The authors would like to thank the anonymous reviewers for their valuable suggestions, which make the paper more readable.
Citation
Yongqing Liu. Shengzhao Hou. "Pseudo-Carleson Measures for Fock Spaces." Taiwanese J. Math. 26 (6) 1145 - 1162, December, 2022. https://doi.org/10.11650/tjm/220801
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