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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2009-01-01
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Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2009/465079 |