Atomic decompositions of Lorentz martingale spaces and applications
In the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded. Using this sufficient condition, we investigate some inequalitie...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/465079 |
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| _version_ | 1832562557692411904 |
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| author | Jiao Yong Peng Lihua Liu Peide |
| author_facet | Jiao Yong Peng Lihua Liu Peide |
| author_sort | Jiao Yong |
| collection | DOAJ |
| description | In the paper we present three atomic decomposition theorems of
Lorentz martingale spaces. With the help of atomic decomposition we obtain a
sufficient condition for sublinear operator defined on Lorentz martingale spaces
to be bounded. Using this sufficient condition, we investigate some inequalities
on Lorentz martingale spaces. Finally we discuss the restricted weak-type
interpolation, and prove the classical Marcinkiewicz interpolation theorem in the
martingale setting. |
| format | Article |
| id | doaj-art-b83b969e973a4c28923c99e76c6533da |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-b83b969e973a4c28923c99e76c6533da2025-02-03T01:22:24ZengWileyJournal of Function Spaces and Applications0972-68022009-01-017215316610.1155/2009/465079Atomic decompositions of Lorentz martingale spaces and applicationsJiao Yong0Peng Lihua1Liu Peide2School of Mathematical Science and Computing Technology, Central South University, Chang Sha 410081, ChinaSchool of Mathematical Science and Computing Technology, Central South University, Chang Sha 410081, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan 430072, ChinaIn the paper we present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded. Using this sufficient condition, we investigate some inequalities on Lorentz martingale spaces. Finally we discuss the restricted weak-type interpolation, and prove the classical Marcinkiewicz interpolation theorem in the martingale setting.http://dx.doi.org/10.1155/2009/465079 |
| spellingShingle | Jiao Yong Peng Lihua Liu Peide Atomic decompositions of Lorentz martingale spaces and applications Journal of Function Spaces and Applications |
| title | Atomic decompositions of Lorentz martingale spaces and applications |
| title_full | Atomic decompositions of Lorentz martingale spaces and applications |
| title_fullStr | Atomic decompositions of Lorentz martingale spaces and applications |
| title_full_unstemmed | Atomic decompositions of Lorentz martingale spaces and applications |
| title_short | Atomic decompositions of Lorentz martingale spaces and applications |
| title_sort | atomic decompositions of lorentz martingale spaces and applications |
| url | http://dx.doi.org/10.1155/2009/465079 |
| work_keys_str_mv | AT jiaoyong atomicdecompositionsoflorentzmartingalespacesandapplications AT penglihua atomicdecompositionsoflorentzmartingalespacesandapplications AT liupeide atomicdecompositionsoflorentzmartingalespacesandapplications |