PubCard - Some Questions Regarding Verification of Carleson Measures

(Peer-Reviewed) Some Questions Regarding Verification of Carleson Measures

Fangwen Deng 邓方文 ¹, Caiheng Ouyang 欧阳才衡 ¹, Ru Peng 彭茹 ²

¹ Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan, 430071, China
中国武汉中国科学院精密测量科学与技术创新研究院
² Department of Mathematics, Wuhan University of Technology, Wuhan, 430070, China
中国武汉武汉理工大学数学系

Acta Mathematica Scientia, 2021-11-05

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

https://link.springer.com/article/10.1007/s10473-021-0620-4

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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