The high order Schwarz-Pick lemma on complex Hilbert balls

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：hxt

【摘要】

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In this paper we prove a high order Schwarz-Pick lemma for holomorphic mappings between unit balls in complex Hilbert spaces.In addition,a Schwarz-Pick estimate

【出处】

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中国科学：数学英文版

【发表日期】

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2010年10期

【关键词】

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COMPLEX HILBERT BALL high order Schwarz-Pick LEMMA complex Hilbert ballhigh orde

【基金项目】

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supported by National Natural Science Foundation of China (Grant Nos.10171047,10671093)

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In this paper we prove a high order Schwarz-Pick lemma for holomorphic mappings between unit balls in complex Hilbert spaces.In addition,a Schwarz-Pick estimate for high order Fréchet derivatives of a holomorphic function f of a Hilbert ball into the

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