LORENTZ MARTINGALE SPACES AND INTERPOLATION

In this article, the authors introduce some new Lorentz spaces for martingales, which are extensions of Hardy spaces of martingales. Then they discuss their basic properties, embedding relationships, and interpolation spaces between them, during which the use of rearrangement good-λ-inequality plays...

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Bibliographic Details
Published inActa mathematica scientia Vol. 30; no. 4; pp. 1143 - 1153
Main Author 范利萍 焦勇 刘培德
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2010
School of Mathematics and Information Science,Henan University,Kaifeng 475004,China
School of Mathematics and Statistics,Wuhan University,Wuhan 430075,China%School of Mathematics and Statistics,Wuhan University,Wuhan 430075,China
Subjects
60G42
60G46
interpolation
Lorentz space
Lorentz空间
Martingale
weight
洛仑兹
鞅Hardy空间
鞅空间
60G46
weight
interpolation
60G42
Lorentz space
Martingale
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(10)60112-9

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Summary:In this article, the authors introduce some new Lorentz spaces for martingales, which are extensions of Hardy spaces of martingales. Then they discuss their basic properties, embedding relationships, and interpolation spaces between them, during which the use of rearrangement good-λ-inequality plays an important role.
Bibliography:interpolation
Martingale
weight
42-1227/O
O412.1
O211.6
Martingale; Lorentz space; weight; interpolation
Lorentz space
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(10)60112-9