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SOME PROPERTIES OF Λ_ω~P(X,μ)

SOME PROPERTIES OF Λ_ω~P(X,μ)
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摘要 In this paper, we shall give a necessary and sufficient condition for which the dual of ΛAωP(X,μ) (0 < p < ∞) is zero , and a necessary and sufficient condition for which ΛAωP(X,μ) (0 < p < 1) is normable. In this paper, we shall give a necessary and sufficient condition for which the dual of ΛAωP(X,μ) (0 < p < ∞) is zero , and a necessary and sufficient condition for which ΛAωP(X,μ) (0 < p < 1) is normable.
机构地区 ZhejiangUniversity
出处 《Analysis in Theory and Applications》 2005年第1期65-72,共8页 分析理论与应用(英文刊)
基金 Supported by 973 project(G1999075105),RFDP(20030335019)andZJNSF(RC97017).
关键词 DUAL normable Lorentz space dual, normable, Lorentz space
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参考文献5

  • 1Arino, M. A. and Muckenhoupt, B., Maximal Functions on Classical Lorentz Spaces and Hardy's Inequality with Weights for Nonincreasing Functions, Tram. Amer. Math. Soc., 320(1990), 727-735.
  • 2Carro, M. J., Garcia del Amo, A. and Soria, J., Weak-Type Weights and Normable Lorentz Spaces,Proc. Amer. Math. Soc., 124(1996), 849-857.
  • 3Day, M. M., The Space L^p with 0 < p < 1, Bull. Amer. Math. Soc., 46(1940), 816-823.
  • 4Hunt, R. A., On L(p,q) Spaces, Ensign. Math., 12:2(1966), 249-276.
  • 5Sawyer, E., Boundedness of Classical Operators on Clasical Lorentz Spaces, Studia Math., 96(1990),145-158.

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