Abstract
In this paper, we provide descriptions of the boundedness and compactness for the Toeplitz operators Tμ,β between distinct weighted Bergman spaces \(L_a^p\left(\omega \right)\) and \(L_a^q\left(\omega \right)\) for 0 < p ⩽ 1, q = 1, −1 < α, β < ∞ and 0 < p ⩽ 1 < q < ∞, −1 < β ⩽ α < ∞, respectively. Part of our results are new even in the unweighted Bergman spaces.
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Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant No. 11601296). The second author was supported by Natural Science Basic Research Program of Shaanxi (Grant No. 2020JM-278). The first author thanks Professor Yongjiang Duan for his guidance and continuous encouragement. The second author thanks the support of the School of Mathematics and Statistics, Northeast Normal University for his visit to Changchun. The authors thank the anonymous referees for their helpful comments and suggestions on improving this paper.
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Wang, S., Wang, Z. Toeplitz operators between distinct Bergman spaces. Sci. China Math. 65, 2325–2336 (2022). https://doi.org/10.1007/s11425-020-1914-5
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DOI: https://doi.org/10.1007/s11425-020-1914-5