A Note on Multiplication and Composition Operators in Lorentz Spaces

Joint Authors

Abebe, Asheber
Kwessi, Eddy
Alfonso, Paul
De Souza, Geraldo

Source

Journal of Function Spaces

Issue

Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2012-07-01

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Kwessi, Eddy& Alfonso, Paul& De Souza, Geraldo& Abebe, Asheber. 2012. A Note on Multiplication and Composition Operators in Lorentz Spaces. Journal of Function Spaces،Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-994309

Modern Language Association (MLA)

Kwessi, Eddy…[et al.]. A Note on Multiplication and Composition Operators in Lorentz Spaces. Journal of Function Spaces No. 2012 (2012), pp.1-10.
https://search.emarefa.net/detail/BIM-994309

American Medical Association (AMA)

Kwessi, Eddy& Alfonso, Paul& De Souza, Geraldo& Abebe, Asheber. A Note on Multiplication and Composition Operators in Lorentz Spaces. Journal of Function Spaces. 2012. Vol. 2012, no. 2012, pp.1-10.
https://search.emarefa.net/detail/BIM-994309

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-994309