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BMO ESTIMATES FOR MULTILINEAR FRACTIONAL INTEGRALS

BMO ESTIMATES FOR MULTILINEAR FRACTIONAL INTEGRALS
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摘要 In this paper, the authors prove that the mulfilinear fractional integral operator In this paper, the authors prove that the mulfilinear fractional integral operator
作者 Xiangxing Tao Yunpin Wu
机构地区 Zhejiang University of Science and Technology
出处 《Analysis in Theory and Applications》 2012年第3期224-231,共8页 分析理论与应用（英文刊）
基金 Supported in part by the NNSF of China under Grant #10771110 and # 11171306 the ZNSF of China under Grant LY12A01024
关键词 multilinear operator fractional integral rough kernel BMO multilinear operator, fractional integral, rough kernel, BMO
分类号 O174.2 [理学—基础数学] O177.6 [理学—基础数学]
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  • 1Chen, W. G.: A Besov estimate for multilinear singular integrals. Acta Math. Sinica, English Series, 16,613-626 (2000).
  • 2Triebel, H.: Theory of Function Spaces, Birkhauer Verlag, Basel, 1983.
  • 3Janson, S.: Mean oscillation and commutators of singular integral operators. Ark. Mat., 16, 263-270 (1978).
  • 4Paluszinski, M.'. Characterization of the Besov spaces via the commutator of Coifman, Rochberg and Weiss.Indiana Univ. Math. J., 44, 1-17 (1995).
  • 5Coifman, R., Rochberg, R., Weiss, C.: Factorization theorems for Hardy spaces in several variables. Ann.of Math., 103, 611-635 (1976).
  • 6Cohen, J., Gosselin, J.: A BMO estimate for multilinear singular integral operators. Illinois J. Math., 30,445-464 (1986).
  • 7Bajsanski, B., Coifman, R.: On singular integrals. Proc. Sympos. Pure Math., Amer. Math. Soc.Providence, R. I., 10, 1-17 (1967).
  • 8Stein, 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).
  • 9Ding Y.Weak type bounds for a class of rough operators with power weights[].Proceedings of the American Mathematical Society.1997
  • 10Bajanski B,Coifman R.On singular integrals[].ProcSymposPure MathAmerMathSoc.1967

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Analysis in Theory and Applications
2012年 第3期

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