Toeplitz Operators and Carleson Measures for Weighted Bergman Spaces Induced by Regular Weights

In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator T μ ω between Bergman spaces A η p and A ν q when μ is a positive Borel measure, 1 < p , q < ∞ and ω , η , ν are regular weights. By using Khinchin’s inequality and Kahane’s inequality, we ge...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2024-05, Vol.40 (5), p.1345-1359
Main Authors: Du, Jun Tao, Li, Song Xiao, Wulan, Hasi
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:In this paper, we give a universal description of the boundedness and compactness of Toeplitz operator T μ ω between Bergman spaces A η p and A ν q when μ is a positive Borel measure, 1 < p , q < ∞ and ω , η , ν 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.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-023-2396-z