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arXiv · 2204.12211

Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights

Juntao Du·Songxiao Li·Hasi Wulan
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Abstract

In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator $\mathcal{T}_\mu^\omega$ between Bergman spaces $A_\eta^p$ and $A_\upsilon^q$ when $\mu$ is a positive Borel measure, $1<p,q<\infty$ and $\omega,\eta,\upsilon$ are regular weights. By using Khinchin's inequality and Kahane's inequality, we get a new characterization of the Carleson measure for Bergman spaces induced by regular weights.

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Juntao Du, Songxiao Li, Hasi Wulan. 2022-04-26. Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights. https://arxiv.org/abs/2204.12211

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