Carleson Measures on the Weighted Bergman Spaces with Békollé Weights

Cezhong Tong; Junfeng Li

doi:10.1007/s11401-021-0280-7

Chinese Annals of Mathematics, Series B ›› 2021, Vol. 42 ›› Issue (4) : 583 -600. DOI: 10.1007/s11401-021-0280-7

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Carleson Measures on the Weighted Bergman Spaces with Békollé Weights

Cezhong Tong ¹^,^a
, Junfeng Li ²^,^b

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Abstract

In this paper, the authors characterize Carleson measures for the weighted Bergman spaces with Békollé 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

Békollé weight / Bergman space / Carleson measure / Toeplitz operator / Composition operator

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Cezhong Tong,Junfeng Li. Carleson Measures on the Weighted Bergman Spaces with Békollé Weights. Chinese Annals of Mathematics, Series B, 2021, 42(4): 583-600 DOI:10.1007/s11401-021-0280-7