Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (6): 2136-2148.doi: 10.1007/s10473-021-0620-4

• Articles • Previous Articles     Next Articles

SOME QUESTIONS REGARDING VERIFICATION OF CARLESON MEASURES

Fangwen DENG1, Caiheng OUYANG1, Guantie DENG2   

  1. 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:2021-05-13 Revised:2021-09-07 Online:2021-12-25 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.

Key words: Carleson measures, Besov-Sobolev spaces, Hardy spaces, Bergman spaces

CLC Number: 

  • 32A37
Trendmd