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分数次积分算子的双权弱型不等式 被引量:1

Two-weight Weak-type Norm Inequalities for Fractional Integral Operators
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摘要 对Rn上的分数次积分算子Iα给出了双权(u,v)满足的Ap型条件,使得Iα的双权弱(p,q)型不等式成立. For fractional integral operator Iα ,texify the Ap -type condition on two weights (u, v), so that the two - weight weak -type (p, q) inequalities for fractional integraloperators Iα are true.
作者 朱慧 刘柏军
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2009年第5期19-21,共3页 Natural Science Journal of Harbin Normal University
基金 黑龙江省教育厅科研基金项目(11531238)
关键词 分数次积分算子 双权弱型不等式 YOUNG函数 Fractional integral operators Two - weight weak - type inequalities Young function
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参考文献6

  • 1Sawyer E. A two weight weak type inequality for fractional integrals. Tran. Amer. Math. Soc. ,1984,281 ( 1 ) :339 - 345.
  • 2Perez C. On suffcient conditions for the boundedness of the Hardy- Littlewood maximal operator between weighted L^p - spaces with different weights. Proc. London Math. Soc., 1995, 71(3) : 135 -157.
  • 3Cruz - Uribe D, Perez C. Two -weight,weak -type norm inequalities for fractional integral, Calderon - Zygmund operators and commutators. Indiana Univ Math J, 2000, 49:697 -721.
  • 4Liu Z G, Lu S Z. Two -weight, weak -type norm inequalities for the commutators of fractional integrals. Integral Equations and Operator Theory, 2004, 48:397 -409.
  • 5O'Neil R. Fractional integration in Orlicz spaces. Tran. Amer. Math. Soc, 1963, 115(1) :300 -328.
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同被引文献5

  • 1李文明.分数次积分算子的双权弱型赋范不等式[J].数学学报(中文版),2007,50(4):851-856. 被引量:3
  • 2Sawyer E. A two weight ,weak type inequality for fractional inte- grals. Tran. Amer. Math. Soc. ,1984,281:339 -345.
  • 3Cruz - Uribe D. , Perez C. Two - weight, weak - type norm inequalities for fractional integral, Calderun - Zygmund operators and commutators. Indiana Univ. Math. J, 2000,49:697 - 721.
  • 4Cruz - Uribe D. , P erez C. Two - weight, weak - type norm inequalities for singular integral operators. Math. R es. Lett., 1999,6:417 -427.
  • 5Y. Ding and S. Z. Lu. Weighted norm inequalities for fractional integral operators with rough kernel. Cana. J. Math. , 1998,50: 29 - 39.

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