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Endpoint Estimates for Marcinkiewicz Integrals on Weighted Weak Hardy Spaces 被引量：3

Endpoint Estimates for Marcinkiewicz Integrals on Weighted Weak Hardy Spaces
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摘要 In this paper, we obtain the（W Hω^1, W Lω^1） type estimate for the Marcinkiewicz integral and the（W H1 b,ω, W L1ω） type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, where the kernel satisfies a certain logarithmic type Lipschitz condition. In this paper, we obtain the（W Hω^1, W Lω^1） type estimate for the Marcinkiewicz integral and the（W H1 b,ω, W L1ω） type estimate for the commutator generated by a BMO function and the Marcinkiewicz integral, where the kernel satisfies a certain logarithmic type Lipschitz condition.
作者 Yan LIN Mei XU
机构地区 School of Sciences
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第3期430-444,共15页 数学学报（英文版）
基金 Supported by National Natural Science Foundation of China(Grant Nos.11001266,11171345) Beijing Higher Education Young Elite Teacher Project(Grant No.YETP0946) the Fundamental Research Funds for the Central Universities(Grant No.2009QS16)
关键词 μΩ boundedness kernel inequality logarithmic satisfying endpoint maximal Lebesgue proof μΩ boundedness kernel inequality logarithmic satisfying endpoint maximal Lebesgue proof
分类号 O177 [理学—基础数学] O212.1 [理学—概率论与数理统计]
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  • 1Ding, Y., Lu, S. Z., Xue, Q. Y.: Parametrized area integrals on Hardy spaces and weak Hardy spaces. Acta Math. Sin., Engl. Ser., 23(9), 1537 1552 (2007).
  • 2Ding, Y., Lu, S. Z., Xue, Q. Y.: Parametrized Littlewood PMey operators on Hardy and weak Hardy spaces. Math. Nachr., 280(4), 351 363 (2007).
  • 3Ding, Y., Lu, S. Z., Yabuta, K.: A problem on rough parametric Macinkiewicz functions. J. Austral. Math. Soc. (A), 72, 13-21 (2002).
  • 4Duoandikoetxea, J., Seijo, E.: Weighted inequalities for rough square functions through extrapolation. Studia Math., 149, 239-252 (2002).
  • 5Fefferman, R., Soria, F.: The weak spaces H1. Studia Math., 85, 1 16 (1987).
  • 6HSrmander, L.: Estimates for translation invariant operators in Lp spaces. Acta Math., 104, 93-140 (1960).
  • 7Lee, J., Rim, K. S.: Estimates of Marcinkiewicz integral with bounded homogeneous kernel of degree zero. Integral Equations Operator Theory, 48, 213-223 (2004).
  • 8Lin, Y., Liu, Z. G., Gao, F. L.: Endpoint estimates for parametrized Littlewood-Paley operator. Commun. Math. Anal., 12(2), 11-25 (2012).
  • 9Sakamoto, M., Yabuta, K.: Boundedness of Marcinkiewicz functions. Studia Math., 135, 103-142 (1999).
  • 10Stein E. M.: Sigular Integral and Differentiability Properties of Functions, Princeton Univ. Press, Prince- ton, New Jersey, 1970.

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Acta Mathematica Sinica,English Series
2015年 第3期

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