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Multilinear singular and fractional integrals on weighted Hardy spaces

Multilinear singular and fractional integrals on weighted Hardy spaces
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摘要 In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied. In this paper the boundedness properties of multilinear singular and fractional integrals on the weighted Hardy spaces are studied.
作者 ZHANG Pu LAN Jia-cheng
机构地区 Dept. of Math. Dept. of Math.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2009年第2期214-220,共7页 高校应用数学学报（英文版）（B辑）
基金 Supported by Heilongjiang Postdoctoral Foundation (LBH-Q06002) the Natural Science Foundation of Zhejiang Province (M103069)
关键词 multilinear singular integral multilinear fractional integral Lipschitz function L^r-Dini condition weighted Hardy space multilinear singular integral, multilinear fractional integral, Lipschitz function, L^r-Dini condition, weighted Hardy space
分类号 O174.52 [理学—基础数学] O177.3 [理学—基础数学]
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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
  • 2Chen, W. G.: A Besov estimate for multilinear singular integrals. Acta Math. Sinica, English Series, 16,613-626 (2000).
  • 3Triebel, H.: Theory of Function Spaces, Birkhauer Verlag, Basel, 1983.
  • 4Janson, S.: Mean oscillation and commutators of singular integral operators. Ark. Mat., 16, 263-270 (1978).
  • 5Paluszinski, M.'. Characterization of the Besov spaces via the commutator of Coifman, Rochberg and Weiss.Indiana Univ. Math. J., 44, 1-17 (1995).
  • 6Coifman, R., Rochberg, R., Weiss, C.: Factorization theorems for Hardy spaces in several variables. Ann.of Math., 103, 611-635 (1976).
  • 7Cohen, J., Gosselin, J.: A BMO estimate for multilinear singular integral operators. Illinois J. Math., 30,445-464 (1986).
  • 8Bajsanski, B., Coifman, R.: On singular integrals. Proc. Sympos. Pure Math., Amer. Math. Soc.Providence, R. I., 10, 1-17 (1967).
  • 9Stein, E. M., Taibleson, M.,Weiss, G.: Weak type estimates for maximal operators on certain H^p spaces.Rend. Circ. Mat. Palermo, Suppl., 1, 81-97 (1981).

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Applied Mathematics(A Journal of Chinese Universities)
2009年 第2期

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