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Fractional Derivatives of Holomorphic Functions on Bounded Symmetric Domains of C~n
作者姓名:郭继东
作者单位:Department of Mathematics,Yili Teacher's College,Xinjiang,Yili,835000
摘    要:.9J.AnirnductionLetQbeaboundedsymmetricdomaininthecon1plexvectorspaceC",Oen,withBergman-Silovboundaryb,rthegroupofholomorphicautomorphismsofaandnitsisotropygroup.ItisknownthatDiscircularandstar-shapedwitl1respecttoOandbiscircular.ThegroupflistransitiveonbandbhasauniquenormalizedO-invariantmeasuredwithd(b)=1-Hua2]constructedbygrouprepresentationtl1eoryasystem{%,}ofhomogeneouspolyno-l,J k-l\mails,k=O,l,..',v=l,..',))l*'nI*=('J k-l),coml>leteandorthogonalonnandortl1onor-malonb.ByH(Q)weden…


Fractional Derivatives of Holomorphic Functions on Bounded Symmetric Domains of C~n
Guo Jidong.Fractional Derivatives of Holomorphic Functions on Bounded Symmetric Domains of C~n[J].Chinese Quarterly Journal of Mathematics,1997(2).
Authors:Guo Jidong
Abstract:
Keywords:fractional derivative  Bergman space  Block space  Lipschitz space
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