Abstract
In this paper, we discuss the boundedness and compactness of Toeplitz operator \(T^\alpha _\mu \) with positive measure symbol \(\mu \) from one Fock-Sobolve type spaces \(F^p_\alpha \) to another \(F^q_\alpha \) with \(0<p,q<\infty \) by the averaging function \({{\widehat{\mu }}}_r\) and the t-Berezin transform \({{\widetilde{\mu }}}^\alpha _t\).
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Acknowledgements
The authors wish to thank referees for their many helpful comments and suggestions that greatly improved the paper. This paper is supported by National Natural Science Foundation of China (Grant Nos. 12001482, 11971125), Innovative Guidance Project of Science and Technology of Zhaoqing City (Nos. 202004031503, 202004031505), the Scientific Research Ability Enhancement Program for Excellent Young Teachers of Zhaoqing University (Grant No. ZQ202108), the Natural Research Project of Zhaoqing University (Grant No. 221622, KY202141, 201910) and the Innovative Research Team Project of Zhaoqing University.
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Communicated by Nikolai Vasilevski.
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This article is part of the topical collection “Higher Dimensional Geometric Function Theory and Hypercomplex Analysis” edited by Irene Sabadini, Michael Shapiro and Daniele Struppa.
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Chen, J., Wang, X., Xia, J. et al. Positive Toeplitz Operators Between Different Fock-Sobolev Type Spaces. Complex Anal. Oper. Theory 16, 26 (2022). https://doi.org/10.1007/s11785-022-01200-3
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DOI: https://doi.org/10.1007/s11785-022-01200-3