Articles

SOME QUESTIONS REGARDING VERIFICATION OF CARLESON MEASURES

  • Fangwen DENG ,
  • Caiheng OUYANG ,
  • Guantie DENG
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  • 1. Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China;
    2. Department of Mathematics, Wuhan University of Technology, Wuhan 430070, China

Received date: 2021-05-13

  Revised date: 2021-09-07

  Online published: 2021-12-27

Supported by

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

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.

Cite this article

Fangwen DENG , Caiheng OUYANG , Guantie DENG . SOME QUESTIONS REGARDING VERIFICATION OF CARLESON MEASURES[J]. Acta mathematica scientia, Series B, 2021 , 41(6) : 2136 -2148 . DOI: 10.1007/s10473-021-0620-4

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