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SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS 被引量:5

SCHWARZ-PICK ESTIMATES FOR BOUNDED HOLOMORPHIC FUNCTIONS ON CLASSICAL DOMAINS
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摘要 In this paper, Schwarz-Pick estimates for high order Fr′echet derivatives of bounded holomorphic functions on three kinds of classical domains are presented. We generalize the early work on Schwarz-Pick estimates of higher order partial derivatives for bounded holomorphic functions on the disk and unit ball. In this paper, Schwarz-Pick estimates for high order Fr′echet derivatives of bounded holomorphic functions on three kinds of classical domains are presented. We generalize the early work on Schwarz-Pick estimates of higher order partial derivatives for bounded holomorphic functions on the disk and unit ball.
作者 刘洋 陈志华
出处 《Acta Mathematica Scientia》 SCIE CSCD 2011年第4期1377-1382,共6页 数学物理学报(B辑英文版)
基金 supported by National Natural Science Foundation of China (10871145 10926066) Doctoral Program Foundation of the Ministry of Education of China (20090072110053) Natural Science Foundation of Zhejiang Province (Y6100007)
关键词 Schwarz-Pick estimate holomorphic functions classical domains Schwarz-Pick estimate holomorphic functions classical domains
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