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Some Questions Regarding Verification of Carleson Measures

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Abstract

In this paper, we give a survey of some recent progress in terms of verifying Carleson measures; this includes the difference between two definitions of a Carleson measure, the Bergman tree condition, the T1 condition for Besov-Sobolev spaces on a complex ball, vector-valued Carleson measures, Carleson measures in strongly pseudoconvex domains and reverse Carleson measures.

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Correspondence to Caiheng Ouyang  (欧阳才衡).

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Dedicated to the memory of Professor Jiarong YU

Supported by the National Natural Science Foundation of China (11771441, 11601400).

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Deng, F., Ouyang, C. & Peng, R. Some Questions Regarding Verification of Carleson Measures. Acta Math Sci 41, 2136–2148 (2021). https://doi.org/10.1007/s10473-021-0620-4

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  • DOI: https://doi.org/10.1007/s10473-021-0620-4

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