四川工业学院学报
四川工業學院學報
사천공업학원학보
JOURNAL OF SICHUAN UVIVERSITY OF SCIENCE AND TECHNOLOGY
2003年
z2期
113-116
,共4页
多元Paley-Wiener空间%离散Hilbert变换%离散Harcly空间
多元Paley-Wiener空間%離散Hilbert變換%離散Harcly空間
다원Paley-Wiener공간%리산Hilbert변환%리산Harcly공간
multivariate paley-wiener space%discrete hilbert transform%discrete hardy space
Eoff证明了单元Paley-Wiener空间Bπ,p(R)与离散的Hardy空间HP(Z),0＜p≤1是同构的,当p=1时对于多元Paley--Wiener空间,前期工作得出了类似的结果.本文作者在前期工作的基础上,证明了多元Paley-Wiener空间Bπ,p(Rn)与离散的Hardy空间HP(Zn),0＜p＜1是同构的,因而填补了我们前期工作与Eoff的结果之间的空白.
Eoff證明瞭單元Paley-Wiener空間Bπ,p(R)與離散的Hardy空間HP(Z),0＜p≤1是同構的,噹p=1時對于多元Paley--Wiener空間,前期工作得齣瞭類似的結果.本文作者在前期工作的基礎上,證明瞭多元Paley-Wiener空間Bπ,p(Rn)與離散的Hardy空間HP(Zn),0＜p＜1是同構的,因而填補瞭我們前期工作與Eoff的結果之間的空白.
Eoff증명료단원Paley-Wiener공간Bπ,p(R)여리산적Hardy공간HP(Z),0＜p≤1시동구적,당p=1시대우다원Paley--Wiener공간,전기공작득출료유사적결과.본문작자재전기공작적기출상,증명료다원Paley-Wiener공간Bπ,p(Rn)여리산적Hardy공간HP(Zn),0＜p＜1시동구적,인이전보료아문전기공작여Eoff적결과지간적공백.
Eoff proves that the univariate Paley-Wiendr space Bπ,p(R) is isomorphic to the discrete Hardy space HP (Z) ,0＜p≤1,our previous work shows that there are analogous results for multivariate Paley-Wiener space Bπ,p (Rn) ,is p=1.In this paper,we continue our research and prove that the multivariate Paley-Wiener space Bπ,p(Rn) is isomorphic to the discrete Hardy space HP (Zn) ,0＜p＜1, which closes the gap of our and Eoff's results.
