Reproducing Kernel Estimates, Bounded Projections and Duality on Large Weighted Bergman Spaces

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• 作者：Hicham Arroussi ; Jordi Pau
• 关键词：Weighted Bergman spaces ; Bounded projections ; Reproducing kernels ; 30H20 ; 46E15
• 刊名：Journal of Geometric Analysis
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：25
• 期：4
• 页码：2284-2312
• 全文大小：550 KB
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• 作者单位：Hicham Arroussi (1)
  Jordi Pau (1)
  
  1. Departament de Matem脿tica Aplicada i Analisi, Universitat de Barcelona, Gran Via 585, 08007, 聽Barcelona, Spain
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Differential Geometry
  Convex and Discrete Geometry
  Fourier Analysis
  Abstract Harmonic Analysis
  Dynamical Systems and Ergodic Theory
  Global Analysis and Analysis on Manifolds
  
• 出版者：Springer New York
• ISSN：1559-002X

文摘

We obtain certain estimates for the reproducing kernels of large weighted Bergman spaces. Applications of these estimates to boundedness of the Bergman projection on \(L^p({\mathbb {D}},\omega ^{p/2})\), complex interpolation and duality of weighted Bergman spaces are given. Keywords Weighted Bergman spaces Bounded projections Reproducing kernels