Weighted estimates for the Berezin transform and Bergman projection on the unit ball

Weighted estimates for the Berezin transform and Bergman projection on the unit ball
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单位球上 Berezin 变换和 Bergman 投影的加权估计

DOI:
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发表时间:
2016
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影响因子:
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通讯作者:
B. Wick
B. Wick
中科院分区:
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文献类型:
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作者:
R. Rahm;E. Tchoundja;B. Wick

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利用现代技术的并矢调和分析,我们能够证明尖锐估计的Bergman投影和Berezin变换和更一般的运营商在加权Bergman空间的单位球。估计值是根据重量的Bekolle-Bonami常数。
Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates for the Bergman projection and Berezin transform and more general operators in weighted Bergman spaces on the unit ball. The estimates are in terms of the Bekolle-Bonami constant of the weight.