Acta mathematica scientia, Series B >
ON A NEW SINGULAR DIRECTION OF QUASIMEROMORPHIC MAPPINGS
Received date: 2006-12-25
Revised date: 2008-08-09
Online published: 2009-09-20
Supported by
Sponsored by the NSFC (10471048)
By applying Ahlfors' theory of covering surface, we establish a fundamental inequality for quasimeromorphic mapping in an angular domain. As an application, we prove the existence of a new singular direction for quasimeromorphic mapping f, namely, a precise S direction, for which the spherical characteristic function S(r, f) is used as a comparison function.
WU Zhao-Jun , SUN Dao-Chun . ON A NEW SINGULAR DIRECTION OF QUASIMEROMORPHIC MAPPINGS[J]. Acta mathematica scientia, Series B, 2009 , 29(5) : 1453 -1460 . DOI: 10.1016/S0252-9602(09)60117-X
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