A Note on Multiplication and Composition Operators in Lorentz Spaces

被引：2
|
作者：
Kwessi, Eddy [2 ]
Alfonso, Paul [3 ]
De Souza, Geraldo [1 ]
Abebe, Asheber [1 ]
机构：
[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
[2] Trinity Univ, San Antonio, TX 78212 USA
[3] USAF Acad, Colorado Springs, CO 80840 USA
来源：
JOURNAL OF FUNCTION SPACES AND APPLICATIONS | 2012年
关键词：
D O I：
10.1155/2012/293613
中图分类号：
学科分类号：
摘要：
we revisit the Lorentz spaces L(p, q) for p > 1, q > 0 defined by G. G. Lorentz in the nineteen fifties and we show how the atomic decomposition of the spaces L (p, 1) obtained by De Souza in 2010 can be used to characterize the multiplication and composition operators on these spaces. These characterizations, though obtained from a completely different perspective, confirm the various results obtained by S. C. Arora, G. Datt and S. Verma in different variants of the Lorentz Spaces.
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页数：10
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