On the principle of duality in Lorentz spaces

被引：63

作者：

GolDman, ML

Heinig, HP

Stepanov, VD

机构：

[1] MCMASTER UNIV,DEPT MATH & STAT,HAMILTON,ON L8S 4K1,CANADA

[2] RUSSIAN ACAD SCI,FAR EASTERN BRANCH,CTR COMP,KHABAROVSK 6800042,RUSSIA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1996年 / 48卷 / 05期

关键词：

D O I：

10.4153/CJM-1996-050-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A characterization of the spaces dual to weighted Lorentz spaces are given by means of reverse Holder inequalities (Theorems 2.1, 2.2). This principle of duality is then applied to characterize weight functions for which the identity operator, the Hardy-Littlewood maximal operator and the Hilbert transform are bounded on weighted Lorentz spaces.

引用

页码：959 / 979

页数：21

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