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Subaveraging estimates forCRfunctions on a hypersurface ofCn

 

作者: Victoria Paolantoni,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 4  

页码: 361-377

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815118

 

出版商: Gordon and Breach Science Publishers

 

关键词: Analytic disc;nonisotropic ball;finite type;subharmonic minorant;AMS No. Primary 32E20;32F25;Secondary 58G17;58A

 

数据来源: Taylor

 

摘要:

For a real smooth hypersurfaceMofCn, we give a subaveraging estimate in some points ofMfor CRfunctions defined near these points. We obtain this by establishing subesti-mates at some point which lies outside ofMand whose normal projection onMis a point of finite type. Secondly, we study the equivalence between the extension of CR functions and the existence of analytic discs.

 

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