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

作　　者：陈丽红 刘培德 

机构地区：[1]College of Science, Wuhan Textile University [2]School of Mathematics and Statistics, Wuhan University

出　　处：《Acta Mathematica Scientia》2011年第1期268-280,共13页数学物理学报（B辑英文版）

基　　金：supported by the Nation Natural Science Foundation of China(10671147);Wuhan University of Science and Engineering under grant (093877)

摘　　要：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.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.

关 键 词：B-valued martingale martingale space dyadic derivative dyadic integral 

分 类 号：O177[理学—数学]