期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

多线性位势型算子的双权弱型不等式

  • 1. 石家庄经济学院 数理学院, 河北 石家庄 050031;
    2. 河北内丘中学, 河北 内丘 054200;
    3. 河北广播电视大学 开放教育学院, 河北 石家庄 050071
  • DOI: 10.11826/j.issn.1000-5854.2014.04.004

Two Weights Weak Inequalities for the Multilinear Potential Type Operators

摘要/Abstract

摘要:

KRn上的非负局部可积函数,且满足某弱增长条件,ARn上的函数,且其所有的一阶偏导数都属于PBMORn).给出了由KA定义的多线性位势型积分算子TAK的双权弱型(pq)不等式.

Abstract:

Let K be a non-negative and locally integrable function on Rn,which satisfies a weak growth condition.Let A be a function defined on Rn,whose all derivatives of order one belong to the space PBMO.In this paper,we get a two weights weak inequality for the multilinear potential type operators TKA.

参考文献 6

  • [1] PEREZ C.Two Weighted Inequalities for Potential and Fractional Type Maximal Operators[J].Indiana Univ Math J,1994,43:663-683.
  • [2] COHEN J.A Sharp Estimate for Multilinear Singular Integral on Rn[J].Indiana Univ Math J,1981,30:693-702.
  • [3] LI W M.Two-weight Norm Inequalities for Multilinear Potential Type Integral Operators[J].Math Nachr,2008,281:839-846.
  • [4] LI W M,QI J Y,ZHANG Y.Two-weight Weak-type Inequalities for Potential Type Operators[J].Appl Mathe(Series B),2008,23(3):313-318.
  • [5] PEREZ C.On Sufficient Conditions for the Boundedness of the Hardy-Littlewood Maximal Operator Between Weighted Lp-spaces with Different Weights[J].Proc London Math Soc,1995,71:135-157.
  • [6] CRUZ-URIBE D,PEREZ C.Two-weight,Weak-type Norm Inequalities for Fractional Integral,Calderon-Zygmund Operators and Commutators[J].Indiana Univ Math J,2000,49:697-721.