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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