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
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.