Atomic Decomposition of Weighted Lorentz Spaces and Operators
We obtain an atomic decomposition of weighted Lorentz spaces for a class of weights satisfying the Δ2 condition. Consequently, we study operators such as the multiplication and composition operators and also provide Hölder’s-type and duality-Riesz type inequalities on these weighted Lorentz spaces....
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/626314 |
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| _version_ | 1832564203131502592 |
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| author | Eddy Kwessi Geraldo de Souza Fidele Ngwane Asheber Abebe |
| author_facet | Eddy Kwessi Geraldo de Souza Fidele Ngwane Asheber Abebe |
| author_sort | Eddy Kwessi |
| collection | DOAJ |
| description | We obtain an atomic decomposition of weighted Lorentz spaces for a class of weights satisfying the Δ2 condition. Consequently, we study operators such as the multiplication and composition operators and also provide Hölder’s-type and duality-Riesz type inequalities on these weighted Lorentz spaces. |
| format | Article |
| id | doaj-art-73c1d47560da4c6cb0797128b1c663a2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-73c1d47560da4c6cb0797128b1c663a22025-02-03T01:11:30ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/626314626314Atomic Decomposition of Weighted Lorentz Spaces and OperatorsEddy Kwessi0Geraldo de Souza1Fidele Ngwane2Asheber Abebe3Department of Mathematics, Trinity University, 1 Trinity Place, San Antonio, TX 78212, USADepartment of Mathematics and Statistics, Auburn University, 221 Parker Hall, Auburn, AL 36849, USADepartment of Sciences and Mathematics, University of South Carolina Salkehatchie, 807 Hampton Street, Walterboro, SC 24988, USADepartment of Mathematics and Statistics, Auburn University, 221 Parker Hall, Auburn, AL 36849, USAWe obtain an atomic decomposition of weighted Lorentz spaces for a class of weights satisfying the Δ2 condition. Consequently, we study operators such as the multiplication and composition operators and also provide Hölder’s-type and duality-Riesz type inequalities on these weighted Lorentz spaces.http://dx.doi.org/10.1155/2014/626314 |
| spellingShingle | Eddy Kwessi Geraldo de Souza Fidele Ngwane Asheber Abebe Atomic Decomposition of Weighted Lorentz Spaces and Operators Journal of Function Spaces |
| title | Atomic Decomposition of Weighted Lorentz Spaces and Operators |
| title_full | Atomic Decomposition of Weighted Lorentz Spaces and Operators |
| title_fullStr | Atomic Decomposition of Weighted Lorentz Spaces and Operators |
| title_full_unstemmed | Atomic Decomposition of Weighted Lorentz Spaces and Operators |
| title_short | Atomic Decomposition of Weighted Lorentz Spaces and Operators |
| title_sort | atomic decomposition of weighted lorentz spaces and operators |
| url | http://dx.doi.org/10.1155/2014/626314 |
| work_keys_str_mv | AT eddykwessi atomicdecompositionofweightedlorentzspacesandoperators AT geraldodesouza atomicdecompositionofweightedlorentzspacesandoperators AT fidelengwane atomicdecompositionofweightedlorentzspacesandoperators AT asheberabebe atomicdecompositionofweightedlorentzspacesandoperators |