Toeplitz operators and Carleson measure between weighted Bergman spaces induced by regular weights
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2022
- DOI:
- arXiv:
- arXiv:2204.12211
- Bibcode:
- 2022arXiv220412211D
- Keywords:
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- Mathematics - Complex Variables;
- Mathematics - Functional Analysis