Characterization of Uniform PL-convexity of Complex Banach Space by Functions with Two Variables
Characterization of Uniform PL-convexity of Complex Banach Space by Functions with Two Variables
摘要
We give a new characterization ofq-uniform PL-convexity of complex Banach space by using the existence of a kind of functions with two variables and then prove a sharp weak (1, 1)-type inequality for analytic martingales with values in the Banach space.
We give a new characterization ofq-uniform PL-convexity of complex Banach space by using the existence of a kind of functions with two variables and then prove a sharp weak (1, 1)-type inequality for analytic martingales with values in the Banach space.
参考文献8
-
1D. L. Burkholder,R. F. Gundy.Extrapolation and interpolation of quasi-linear operators on martingales[J]. Acta Mathematica . 1970 (1)
-
2LIU P-d,Eero Saksm an,TylliH O.Boundedness ofthe q-m ean-square operator on vector-valued analyticm artingales. Canadian Mathematical Bulletin . 1999
-
3Burkholder DL.Geom etricalcharacterization ofBanach space in w hich m artingale difference sequencesare unconditional. The Annals of Probability . 1981
-
4BurkholderD L.Explorationsin m artingale theory and its applications. Lecture Notes in Mathematics . 1989
-
5BurkholderD L.Distribution function inequalities for m artingales. The Annals of Probability . 1973
-
6Davis JW,garling D JH,Tom czak-Jaegerm ann N.The com plex convexity ofquasi-norm ed linearspaces. JFuncAnal . 1984
-
7Garling D GH.On m artingale w ith values in a com plex Banach space. Math Proc Cam b PhilSoc . 1989
-
8Bourgain J,DavisW J.Martingale transform and com plex uniform convexity. TransAm erMathSoc . 1986
-
1戴闻.利用碳纳米管中的自旋和轨道自由度[J].物理,2008,37(8):605-605.
-
2Xu Yancong,Meng Fanwei.NEW OSCILLATION CRITERIA FOR SECOND-ORDER NONLINEAR MATRIX DIFFERENTIAL EQUATIONS[J].Applied Mathematics(A Journal of Chinese Universities),2006,21(3):313-319. 被引量:2
-
3曾信,杜群贵.注塑模斜推杆机构强度分析及其结构尺寸研究[J].制造业自动化,2011,33(10):78-80.
-
4ZHOU YaHong,WANG LiMing,HE XiaoDan.Semiparametric estimation of average treatment effect through a random coefficient dummy endogenous variable model[J].Science China Mathematics,2014,57(11):2415-2428. 被引量:2