A note on Schwarz-Pick estimate
Yang Liu , Zhihua Chen
Chinese Annals of Mathematics, Series B ›› 2010, Vol. 31 ›› Issue (3) : 343 -346.
A note on Schwarz-Pick estimate
A Schwarz-Pick estimate of higher order derivative for holomorphic functions with positive real part on B n is presented. This improves the earlier work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with positive real part on the unit disk in ℂ.
Schwarz-Pick estimate / Holomorphic function / Taylor expansion
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Chen, Z. H. and Liu, Y., Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of ℂn, Acta Math. Sin. Ser. B, in press. |
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Dai, S. Y., Chen, H. H. and Pan, Y. F., The Schwarz-Pick lemma of high order in several variables, preprint. |
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Liu, Y. and Chen, Z. H., Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc, Sci. China Ser. A, 53, 2010. DOI: 10.1007/s11425-009-0197-1 |
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