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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| Summary: | 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. |
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| ISSN: | 0972-6802 |