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《ACTA MATHEMATIEA SCIENTIA》 1997-01
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Uniformly PL-Convexity of Complex Spaces and Inequalities of Analytic Martingale

Bekjan Turdebek N(Department of Mathematics Wuhan Universify Wuhan 430072)(Department of Mathematics Xinjiang University Urumqi 830046)  
We study the relationships between some inequalities of ananlytic martingale with values in complex quasi-Banach space and uniformly PL-convexitiable of the space. We prove weak type (1,1 ), strong type (p, p) and a Φ inequalities of q-mean sequare funiction of analytic martingales with values in quasi-Banach space. Appling them to give some equivalent conditons of q -uniformly PL-convexitiable of the spaces. At the same time, appling growth velocity of q-mean square funicton of analytic martingales give characterization of q-uniformly PL-convexitiable spaces.
【CateGory Index】: O177
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【References】
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1 Liu Peide (Department of Mathematics, Wuhan University, Wuhan 430072, China) (Fax: 027-7882661, E-mail: peide @ math, whcnc.ac.cn) Turdebek, N. Bekjan (Department of Mathematics, Xinjiang University, Urumuqi 830046, China);Inequalities of Hardy Martingales and Convexity in Complex Space[J];Acta Mathematica Sinica;1997-01
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