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两类新型两指标B值鞅空间的相互嵌入关系 被引量:1

Mutual Embedding Relation between Two New Types of Two-parameter Banach Space Valued Martingale Spaces
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摘要 证明了两类新型两指标B值鞅空间的Fefferman不等式,讨论了两类新型两指标B值鞅空间相互嵌入关系与Banach空间几何性质间的联系:Banach空间的几何性质决定着鞅空间的相互嵌入关系;鞅空间的嵌入关系也可刻画Banach空间的几何性质. The Fefferman inequalities for two new types of two-parameter Banach space valued martingale spaces are proven. The relationship between the mutual embedding of two new types of two-parameter Banach space valued martingale spaces and the geometrical properties of Banach spaces are investigated. It is found that the geometrical properties of Banach spaces determine the embedding of martingale spaces which can in return characterize the geometrical properties conversely.
作者 叶臣 舒启昂
出处 《宁波大学学报(理工版)》 CAS 2015年第3期42-47,共6页 Journal of Ningbo University:Natural Science and Engineering Edition
基金 浙江省教育厅科研项目(Y201119684)
关键词 两指标B值鞅空间 Sharp算子 Fefferman不等式 p一致光滑 q一致凸 two-parameter Banach space valued martingale spaces Sharp operator Fefferman inequalities p-uniform smoothness q-uniform convexity
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  • 1Burkholder D L, Gundy R E Extrapolation and interpolation of quasi linear operator on martingales[J]. Acta Math, 1970, 124:249-304.
  • 2Garsia A M. Martingale inequalities[C]//Seminar Notes on Recent Progress Math, Lecture Notes Series, New York: Benjamin Inc, 1973:196-212.
  • 3Herz C S. Bounded mean oscillation and regulated martingales[J]. Trans Amer Math Soci, 1974, 193:199-215.
  • 4Bermard A, Muisonneuve B. Decomposition atomique de martingale de la class Hl (LNM581)[M]. New York: Springer-Verlag Press, 1977:303-323.
  • 5Weisz F. Martingale Hardy space for 0<p :<1 [J]. Probability Theory and Related Fields, 1990, 84:361-376.
  • 6Weisz F. Martingale hardy space and their applications in Fourier analysis(LNM1568)[M]. New York: Springer- Verlag Press, 1994:84-100.
  • 7刘培德.鞅空间与Banach空间的几何性质[J].中国科学(A辑),1990,21(7):694-704. 被引量:8
  • 8Cheng Riyan, Gan Shixin. Atomic decomposition for two-parameter vector-valued martingales and two- parameter vector-valued martingale spaces[J]. Acta Math Hungar, 2001, 93(1/2):7-25.
  • 9Yu Lin. Duals of Banach-space-valued martingale hardy spaces[J]. Kyungpook Math J, 2001, 41:259-275.
  • 10Lin YU.Duals of Hardy Spaces of B-valued Martingales for 0<r≤1[J].Acta Mathematica Sinica,English Series,2014,30(8):1365-1380. 被引量:4

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