Abstract
In this paper, we completely characterize the boundedness and compactness of Toeplitz operators Tμ,ω between weighted harmonic Bergman spaces \({L_{h}^{p}}(\omega )\) and \({L_{h}^{q}}(\omega )\) for \(1<p,q<\infty \), where μ is a positive Borel measure and ω belongs to \(\mathcal {D}\) which consists of the class of radial weights satisfying both forward and reverse doubling conditions.
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Acknowledgements
The authors are sincerely grateful to the anonymous referee for the insightful comments and constructive suggestions that have substantially improved the presentation of this paper. The authors are partially supported by NNSF of China and NSF of Shanghai (Grant number: 21ZR1404200). Y. Duan thanks School of Mathematical Sciences of Fudan University for the support of his visit to Shanghai. Z. Wang thanks School of Mathematics and Statistics, Northeast Normal University for the support of his visit to Changchun.
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Duan, Y., Guo, K., Wang, S. et al. Toeplitz Operators on a Class of Radially Weighted Harmonic Bergman Spaces. Potential Anal 59, 1621–1641 (2023). https://doi.org/10.1007/s11118-022-10022-z
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DOI: https://doi.org/10.1007/s11118-022-10022-z