Abstract
In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We characterize the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami weights in terms of Berezin transforms. Moreover, we estimate the essential norm of them assuming that they are bounded.
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Cezhong Tong was supported in part by China Scholarship Fund and National Natural Science Foundation of China (Grant No. 11301132).
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Tong, C., Li, J. & Arroussi, H. The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space. Potential Anal 57, 263–281 (2022). https://doi.org/10.1007/s11118-021-09915-2
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DOI: https://doi.org/10.1007/s11118-021-09915-2