Hot Paper - Some Questions Regarding Verification of Carleson Measures

Some Questions Regarding Verification of Carleson Measures

关于Carleson测度验证的一些问题
カルレソン対策の検証に関するいくつかの質問
Carleson 조치의 검증에 관한 몇 가지 질문
Algunas preguntas sobre la verificación de las medidas de Carleson
Quelques questions concernant la vérification des mesures de Carleson
Некоторые вопросы относительно проверки мер Карлесона

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

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

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

Acta Mathematica Scientia, 5 November 2021

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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