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.

引用

页数：10

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