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Banach空间值的Hardy空间某些性质的探讨
引用本文:徐毅,赵凯.Banach空间值的Hardy空间某些性质的探讨[J].青岛大学学报(自然科学版),2006,19(2):8-12,19.
作者姓名:徐毅  赵凯
作者单位:青岛大学,数学科学学院,山东,青岛,266071
摘    要:将Hp空间构成函数的值域从复数域推广到一般的Banach空间,从而建立了相应的BHp空间,并讨论了该空间的部分性质.使一些经典的Hp空间理论得到了推广.

关 键 词:解析函数  Banach空间  BLp空间  次调和函数  BHp空间
文章编号:1006-1037(2006)02-0008-05
收稿时间:2006-03-20
修稿时间:2006-03-20

Some Properties of Hardy Space with the Range of Banach Space
XU Yi,ZHAO Kai.Some Properties of Hardy Space with the Range of Banach Space[J].Journal of Qingdao University(Natural Science Edition),2006,19(2):8-12,19.
Authors:XU Yi  ZHAO Kai
Institution:School of Mathematics Science, Qingdao University, Qingdao 266071, China
Abstract:In this article, we attempt to change the range of functions that belong to H^p space. The range of such functions whose range is complex field is expanded into general Banach space. Then we build BH^p space which corresponds to H^p space and disuss some properties of BH^p space. So some classical theories of H^p space are generalized.
Keywords:analytic function  Banaeh space  BL^pspace  subharmonie function  BH^p space
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