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An F. and M. Riesz Theorem for strong H2-functions on the unit circle
Journal of Mathematical Analysis and Applications ( IF 1.2 ) Pub Date : 2021-01-13 , DOI: 10.1016/j.jmaa.2021.124927
Caixing Gu , In Sung Hwang , Sumin Kim , Woo Young Lee

An F. and M. Riesz Theorem states that if f,gH2 are such that fg=0 a.e. on the unit circle T then either f=0 a.e. on T or g=0 a.e. on T. In this paper we establish an extension of the F. and M. Riesz Theorem for (operator-valued) strong H2-functions on the unit circle.



中文翻译:

单位圆上具有强H 2-函数的F.和M. Riesz定理

F.和M. Riesz定理指出,如果 FGH2 如此 FG=0 单位圆上的ae Ť 然后 F=0Ť 要么 G=0Ť。在本文中,我们建立了F.和M. Riesz定理的推广(算子值)H2-单位圆上的功能。

更新日期:2021-01-13
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