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Area integrals and hpnorms of analytic functions

 

作者: Shõji kobayashi,   Nobuyuki Suita,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1986)
卷期: Volume 5, issue 2-4  

页码: 181-188

 

ISSN:0278-1077

 

年代: 1986

 

DOI:10.1080/17476938608814138

 

出版商: Gordon and Breach Science Publishers

 

关键词: 30DS5;31B05

 

数据来源: Taylor

 

摘要:

LetRbe a Riemann surface with Green's functiong(z,a). LetaεRandp>0 be fixed. For a functionfanalytic onR, letaεRbe the least harmonic majorant of |f(z)|ponRandFor anfwithf(a) = 0. we define. whereg*(z,a) denotes the harmonic conjugate ofg(z,a). In this paper we show the equalityin the case for regular Riemann surfaces and the inequalityfor general Riemann surfaces. We also consider a higher dimensional case.

 

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