Positive Toeplitz Operators on the Bergman Spaces of the Siegel Upper Half-Space

被引：1
作者：
Congwen Liu
Jiajia Si
机构：
[1] University of Science and Technology of China,School of Mathematical Sciences
[2] USTC,Wu Wen
[3] Chinese Academy of Sciences,Tsun Key Laboratory of Mathematics
来源：
Communications in Mathematics and Statistics | 2020年 / 8卷
关键词：
Toeplitz operators; Bergman spaces; Siegel upper half-space; Carleson measure; Berezin transform; 47B35; 32A36;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We characterize bounded and compact positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space.
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页码：113 / 134
页数：21
相关论文
共 23 条
[1]  
Axler S(1988)Bergman spaces and their operators, surveys of some recent results in operator theory, vol. 1 Pitman Res. Notes Math. Ser. 171 1-50
[2]  
Choe B(2002)Positive Toeplitz operators between the harmonic Bergman spaces Potential Anal. 17 307-335
[3]  
Koo H(2007)Toeplitz operators and Herz spaces on the half-space Integral Equ. Oper. Theory 59 501-521
[4]  
Yi H(1980)Representation theorems for holomorphic and harmonic functions in Astérisque 77 11-66
[5]  
Choe B(1993)Integral representations for some classes of functions holomorphic in a Siegel domain J. Math. Anal. Appl. 179 91-109
[6]  
Nam K(1964)Analysis in homogeneous domains Russ. Math. Surv. 19 1-89
[7]  
Coifman RR(2015)Sharp Forelli-Rudin estimates and the norm of the Bergman projection J. Funct. Anal. 268 255-277
[8]  
Rochberg R(2018)Norm estimates for the Bergman and Cauchy–Szegö projections over the Siegel upper half-space Constr. Approx. 48 385-413
[9]  
Djrbashian MM(2019)Two classes of integral operators over the Siegel upper half-space Complex Anal. Oper. Theory 3 685-701
[10]  
Karapetyan AH(2013)Positive Toeplitz operators on weighted Bergman spaces of a minimal bounded homogeneous domain J. Math. Soc. Jpn. 65 1101-1115
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