THE DYADIC DERIVATIVE AND CESARO MEAN OF BANACH-VALUED MARTINGALES |
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| Authors: | Chen Lihong Liu Peide |
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| Affiliation: | [1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China [2]College of Science, Wuhan University of Science and Engineering Wuhan 430073, China |
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| Abstract: | In this article, the Banach space X and the martingales with values in it are considered. It is shown that the maximal operators of the one-dimensional dyadic derivative of the dyadic integral and Cesàro means are bounded from the dyadic Hardy-Lorentz space pHra(X) to Lra(X) when X is isomorphic to a p-uniformly smooth space (1
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| Keywords: | Hardy-Lorentz space dyadic derivative B-valued martingale |
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