BOUNDEDNESS OF DYADIC DERIVATIVE AND CESARO MEAN OPERATOR ON SOME B-VALUED MARTINGALE SPACES

In this article, it is proved that the maximal operator of one-dimensional dyadic derivative of dyadic integral I＊ and Cesàro mean operator σ＊ are bounded from the B-valued martingale Hardy spaces pΣα, Dα, pLα, p H#α, pKr to Lα （0 α ∞）, respectively. The facts show that it depends on the geometrical...

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Bibliographic Details
Published in	Acta mathematica scientia Vol. 31; no. 1; pp. 268 - 280
Main Author	陈丽红刘培德
Format	Journal Article
Language	English
Published	Elsevier Ltd 2011
Subjects	43A17 60G42 B-valued martingale Banach空间 B值鞅空间 CES dyadic derivative dyadic integral martingale space 二进导数几何性质平均算子有界性鞅Hardy空间 martingale space dyadic integral dyadic derivative 60G42 43A17 B-valued martingale
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ISSN	0252-9602 1572-9087
DOI	10.1016/S0252-9602(11)60227-0

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Summary:	In this article, it is proved that the maximal operator of one-dimensional dyadic derivative of dyadic integral I＊ and Cesàro mean operator σ＊ are bounded from the B-valued martingale Hardy spaces pΣα, Dα, pLα, p H#α, pKr to Lα （0 α ∞）, respectively. The facts show that it depends on the geometrical properties of the Banach space.
Bibliography:	martingale space dyadic derivative B-valued martingale O174.41 dyadic integral 42-1227/O B-valued martingale; martingale space; dyadic derivative; dyadic integral O177.2
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(11)60227-0