Open AccessSchwarz‐Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball
Author(s) -
Jianfei Wang
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/647972
Subject(s) - mathematics , holomorphic function , unit sphere , ball (mathematics) , homogeneous , banach space , pure mathematics , generalization , mathematical analysis , combinatorics
Let BX be the unit ball in a complex Banach space X. Assume BX is homogeneous. The generalization of the Schwarz-Pick estimates of partial derivatives of arbitrary order is established for holomorphic mappings from the unit ball Bn to BX associated with the Carathéodory metric, which extend the corresponding Chen and Liu, Dai et al. results
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