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齐型空间上的双线性Calderon-Zygmund奇异积分算子 被引量:2

Bilinear Calderon-Zygmund Operators on Spaces of Homogeneous Type
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摘要 该文在齐型空间上引入双线性Calderon-Zygmund奇异积分算子的基本概念,研究了其基本性质以及在L1×L1上的弱有界性. The authors study the bilinear Caideron-Zygmund singular integral operators on spaces of homogeneous type and obtain some properties of them and an endpoint weak type estimate.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2006年第3期375-381,共7页 Acta Mathematica Scientia
基金 河北省科技厅基金(992121179D)资助
关键词 齐型空间 Calderon—Zygmund奇异积分算子 双线性算子. Spaces of homogeneous type Calderon-Zygmund operators Bilinear operators.
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参考文献6

  • 1Grafakos L, Torres R H. Multilinear Calderon-Zygmund theory. Adv in Math, 2002, 165; 124-164
  • 2Macias R, Segovia C, Lipschitz function on space of homogeneous type, Adv in Math, 1979, 33:257-270
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同被引文献9

  • 1倪大平.齐型空间上奇异积分交换子的一个加权端点估计[J].信息工程大学学报,2006,7(3):214-218. 被引量:2
  • 2Coifman R, Rochrerg R, Weiss G. Factorization theorems for Hardy spaces in several variables[J]. Ann. of math., 1976, 103 (2): 611-635.
  • 3Perez C, Pradolini C. Sharp weighted endpoint estimate for commutator of singular integrals[J]. Machigar Math. J., 2001, 49: 23-37.
  • 4Gladis Pradolini-Oscar S. Commutators of singular integrals on space of homogeneous type [J ]. Czechoslovak Mathematical Journal, 2007, 57: 75-93.
  • 5Lemer A K. Weighted norh inequalities for the local sharp maximal funtion[J], J. Fourier Anal, Appl., 2004, 10: 645-674.
  • 6Perez C. On sufficient condition for the boundedness of the Hardy-Littlewood maximal operator between weighted Lp-spaces with different weights[J]. Proc. London Math. Soc, 1995, 49: 135-157.
  • 7Carrozza M, Passarelli Di Napoli A. Composition of maximal oparators[J]. Publ. Mat., 1996, 40: 397-409.
  • 8Perez C. sharp estimates for commutators of singular integrals via itetations of the Hardy-Littlewood maximal fountion [J]. Proc. London Math. Soc., 1995, 40: 397-409.
  • 9Gladis Pradolini,Oscar Salinas. Commutators of singular integrals on spaces of homogeneous type[J] 2007,Czechoslovak Mathematical Journal(1):75~93

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