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带变量核的分数次极大算子的双权弱型不等式

Two-weight Weak-type Norm Inequalities for Fractional Maximal Operators with Variable Kernels
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摘要 利用核函数Ω的性质,证明了带变量核的分数次极大算子MΩ,α的双权弱型不等式,从而推广了以往非变量核的结果. By using the properties of the functionΩ,the two-weight weak-type norm inequalities are established for the fractional maximal operators MΩ,α with variable kernels,which extends no-variable kernel results that have been achieved in previous research.
出处 《兰州文理学院学报(自然科学版)》 2014年第6期23-24,共2页 Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金 国家自然科学基金项目(11161402) 甘肃省青年科技基金(1308RJYM024) 庆阳市青年科技基金(QJ201302) 陇东学院青年科技创新项目(XYLK1301)
关键词 分数次极大算子 双权不等式 变量核 fractional maximal operators two-weight weak-type inequalities variable kernel.
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  • 1Yanping Chen,Bolin Ma.THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS FROM L^p(R^n) TO TRIEBEL-LIZORKIN SPACES[J].Analysis in Theory and Applications,2007,23(2):112-128. 被引量:4
  • 2Torchinsky A, Wang S L. A note on Marcinkiewicz integral. Coll. Math., 1993, 60: 235-243.
  • 3Ding Y, Lu S Z, Yabuta K. On commutator of Marcinkiewicz integrals with rough kernel. Journ. Math. Anal. Appl., 2002, 275: 60-68.
  • 4Hu G, Yan D. On the commutator of a homogeneous Marcinkiewicz integral. Journ. Math. Anal. Appl., 2003, 283: 351-361.
  • 5Lu S, Wu H X. On the commutators of singular integrals related to block spaces. Nagoya Math. J., 2004, 173: 205-223.
  • 6Bloom S. A commutator theorem and weighted BMO. Trans Amer. Math. Soc., 1985, 292: 103- 122.
  • 7Hu B, Gu J. Necessary and sufficient conditions for boundedness of commutators with weighted Lipschitz function. Journ. Math. Anal. Appl., 2008, 340(1): 598-605.
  • 8Garcia-cuerva J, Rubio defrancia J L. Weighted Norm Inequalities and Related Top Ics. New York: North-Holland Amsterdam, 1995.
  • 9Stein E M.On the function of Littlewood-Paley, Lusin and Marcinkieicz[J]. Trans. Amer. Math. Soc. , 1958,88: 430-466.
  • 10Hormander L. Estimates for translation invariant operators in LP spaces[J]. Acta. Math .1960.104: 93.

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