SOME QUESTIONS REGARDING VERIFICATION OF CARLESON MEASURES

doi:10.1007/s10473-021-0620-4

Abstract

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

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

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