The estimations of the bounds of the Bloch constant of locally biholomorphic mappings on irreducible bounded symmetric domains are given. When the domain is a unit circle, the estimation of the lower bounds is just the famous one-half estimation.
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JiangXi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R ChinaJiangXi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China
Xu, Qing-Hua
Liu, Tai-Shun
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Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R ChinaJiangXi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Peoples R China