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多线性分数次积分算子在Morrey-Herz空间中的一点注记

A Note for the Multilinear Fractional Integral Operators on Morrey-Herz Spaces
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摘要 本文中,我们对一类推广型多线性分数次积分算子T_(Ω,l)^(A_1,A_2,…,A_t)进行讨论,得出它是从L^(q1)空间到L^(q2)空间的有界性,进而证明了此算子及其变形算子均是M K_(p1,q1)^(α,λ)空间到M K_(p2,q2)^(α,λ)空间也是连续的. In this paper,we discuss multilinear fractional singular integral operators TΩ,lA_1,A_2,…At.We obtain it is L(q_1,q_2)-type,moreover we get that this operator and its variants are continuity from space M Kα,λ(p1,q1) to space M K_α,λp_2,q_2,where Ω(x) is homogeneous function of zero orders and M =qi p1∑s=1ms
作者 朱诗红
机构地区 铜陵学院
出处 《应用泛函分析学报》 2015年第1期46-53,共8页 Acta Analysis Functionalis Applicata
基金 安徽省教育厅自然科学基金(kj2010b460)
关键词 LIPSCHITZ空间 多线性算子 MORREY-HERZ空间 极大分数次积分算子 Lipschitz space multilinear operator Morrey-Herz space maximal fractional integral operator
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  • 1Hu Guoen(Beijing Normal University, China).ON A MULTILINEAR SINGULAR INTEGRAL OPERATOR[J].Analysis in Theory and Applications,1995,11(4):90-107. 被引量:2
  • 2Lu, S. Z.: Four lectures on real H^p spaces, World Scientific Publishing, River Edge, NI, 1995.
  • 3Hu, G. E., Lu, S. Z., The commutator of the Bochner-Riesz operator, Tohoku Math,J.,48, 259-266 (1996).
  • 4Liu, L. Z., The continuity of commutators on Tricbel-Lizorkin spaces. Integral Equations and Operator Theory, 49, 650-75 (2004).
  • 5Cohen, J.: A sharp estimate for a multilinear singular integral on R^n. Indiana Univ. Math. J., 30, 693-702(1981).
  • 6Cohen, J., Gosselin, J.: On multilinear singular integral operators on R^n. Studia Math., 72, 199-223 (1982).
  • 7Cohen, J., Gosselin, J.: A BMO estimate for multilinear singular integral operators, illinois J. Math., 30,445-465 (1986).
  • 8Ding, Y., Lu, S, Z,: Weighted boundedness for a class rough multilinear operators. Acta Math. Sinica,English Series, 17, 517-526 (2001).
  • 9Chen, W. G.: A Besov estimate for a class of multilinear singular integrals. Acta Math. Sinica, English Series, 16, 613-626 (2000).
  • 10Lu, S.Z., Wu, Q., Yang, D, C.: Boundedness of commutators on Hardy type spaces. Sci. in China (Set.A), 45, 984-997 (2002).

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