Poisson-like kernels in tube domains over light-cones

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作者：
Garrigós, Gustavo [1 ]
机构：
[1] Universidad Autónoma de Madrid, Facultad de Ciencias C-XV, 28049 Madrid, Spain
来源：
Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni | 2002年 / 13卷 / 3-4期
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摘要：
A family of holomorphic function spaces can be defined with reproducing kernels Bα(z,w), obtained as real powers of the Cauchy-Szego kernel. In this paper we study properties of the associated Poisson-like kernels: Pα(z,w) = |Bα(z,w)/ Bα(z; z). In particular, we show boundedness of associated maximal operators, and obtain formulas for the limit of Poisson integrals in the topological boundary of the cone.
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页码：271 / 283
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