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- Title
Decomposition of L (∂ D ) space and boundary value of holomorphic functions.
- Authors
Wen, Zhihong; Deng, Guantie; Wang, Cuiqiao; Qu, Feifei
- Abstract
This paper deals with two topics mentioned in the title. First, it is proved that function f in L (∂ D ) can be decomposed into a sum g + h, where D is an angular domain in the complex plane, g and h are the non-tangential limits of functions in H ( D ) and $${H^p}\left( {\overline D _a^c} \right)$$ in the sense of L ( D ), respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.
- Subjects
MATHEMATICAL decomposition; BOUNDARY value problems; HOLOMORPHIC functions; PLANE geometry; DISTRIBUTION (Probability theory)
- Publication
Chinese Annals of Mathematics, 2017, Vol 38, Issue 5, p1093
- ISSN
0252-9599
- Publication type
Article
- DOI
10.1007/s11401-017-1025-5