Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball
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 corr...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/647972 |
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| _version_ | 1832549596537028608 |
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| author | Jianfei Wang |
| author_facet | Jianfei Wang |
| author_sort | Jianfei Wang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-914ad704df9e4628918a9e614ad6ae68 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-914ad704df9e4628918a9e614ad6ae682025-02-03T06:10:57ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/647972647972Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous BallJianfei Wang0Department of Mathematics, Zhejiang Normal University, Zhejiang, Jinhua 321004, ChinaLet 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.http://dx.doi.org/10.1155/2012/647972 |
| spellingShingle | Jianfei Wang Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball Abstract and Applied Analysis |
| title | Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball |
| title_full | Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball |
| title_fullStr | Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball |
| title_full_unstemmed | Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball |
| title_short | Schwarz-Pick Estimates for Holomorphic Mappings with Values in Homogeneous Ball |
| title_sort | schwarz pick estimates for holomorphic mappings with values in homogeneous ball |
| url | http://dx.doi.org/10.1155/2012/647972 |
| work_keys_str_mv | AT jianfeiwang schwarzpickestimatesforholomorphicmappingswithvaluesinhomogeneousball |