乘积空间上Marcinkiewicz积分的Lp有界性
승적공간상Marcinkiewicz적분적Lp유계성
Lp-Bounds for a Marcinkiewicz Integral on Product Domains
  • 万方数据
    数学研究与评论 수학연구여평론
    JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
    2002年 3期 317-324 ,共8页

    应益明%金永阳

    응익명%금영양



    Marcinkiewicz integral%rough kernel%product domains%square fumctions
    本文证明了乘积空间Rn×Rm上Marcinkiewicz积分μΩ(f)的Lp有界性，其中Ω∈L(log+L)2β(Sn-1×Sm-1)，β＞1.
    본문증명료승적공간Rn×Rm상Marcinkiewicz적분μΩ(f)적Lp유계성，기중Ω∈L(log+L)2β(Sn-1×Sm-1)，β＞1.
    In this paper, we proved the Lp-boundedness of the Marcinkiewicz integralμΩ(f) on product domains Rn × Rm,where Ω∈ L(log+L)2β(Sn-1 × Sm-1)(β＞ 1).
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