Carleson Measures on the Weighted BergmanSpaces with B´ekoll´e Weights*

Citation:

Cezhong TONG,Junfeng LI.Carleson Measures on the Weighted BergmanSpaces with B´ekoll´e Weights*[J].Chinese Annals of Mathematics B,2021,42(4):583~600
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Authors:

Cezhong TONG; Junfeng LI

Foundation:

China Scholarship Fund and National Natural Science Foundation of China (No. 11301132) and Natural Science Foundation of Hebei Province (No. A2020202005) and Natural Science Foundation of Tianjin City (No. 20JCYBJC00750).
Abstract: In this paper, the authors characterize Carleson measures for the weighted Bergman spaces with B′ekoll′e weights on the unit ball. They apply the Carleson embedding theorem to study the properties of Toeplitz-type operators and composition operators acting on such spaces.

Keywords:

B´ekoll´e weight, Bergman space, Carleson measure, Toeplitz operator,Composition operator

Classification:

32A36, 42B35, 47B35, 47B33
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