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调和Bergman空间的一个原子分解定理(英文)

An Atomic Decomposition Theorem for the Harmonic Bergman Space
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摘要 本文在R^n中具有C~∞-边界的有界域Ω上,给出了调和Bergman空间的一个原子分解定理. On the setting of the bounded domainΩR^n with C~∞-boundary,we prove the atomic decomposition theorem for harmonic Bergman functions.
作者 唐笑敏
出处 《数学进展》 CSCD 北大核心 2010年第6期665-672,共8页 Advances in Mathematics(China)
基金 Supported by the NSFC(No.10771064,No.10971063) the NSF of Zhejiang Province(No. Y7080197,No.Y6090036,No.D7080080,No.Y6100219) the Innovation Team Foundation of the Department of Education of Zhejiang Province(No.T200924)
关键词 原子分解定理 调和Bergman空间 有界域 atomic decomposition theorem harmonic Bergman space bounded domain
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参考文献7

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  • 2Coifman, R.R., Rochberg, R., Representation theorems for holomorphic and harmonic functions in L^p, Asterisque, 1980, 77: 11-66.
  • 3Luecking, D., Representation and duality in weighted space of analytic functions, Indiana Math. J., 1985, 34: 319-336.
  • 4Zhu K.H., Spaces of Holomorphic Functions in the Unit Ball, New York: Springer-Verlag, 2005.
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