一个多线性奇异积分的弱型(H1, L1)估计
일개다선성기이적분적약형(H1, L1)고계
Weak Type (H1, L1)Estimate for a Multilinear Singular Integral Operator
  • 万方数据
    数学进展 수학진전
    ADVANCES IN MATHEMATICS
    2001年 1期 63-69 ,共7页

    谌稳固%胡国恩

    심은고%호국은

    弱型估计%多线性算子%BMO 弱型估計%多線性算子%BMO
    약형고계%다선성산자%BMO
    本文运用Hardy空间的分子分解理论给出一个多线性积分算子的弱型(H1, L1)估计.
    본문운용Hardy공간적분자분해이론급출일개다선성적분산자적약형(H1, L1)고계.
    In this paper, we prove that the multilinear operator TAf(x)=p. v.∫n Pm(A; x, y) f(y)dy, n 2 is of weak type (H1, L1), where =A(x)-, with m a positiveinteger and DαA∈ BMO(n) for all multi-indices α, |α|=m-1; Ω(x) is homogeneous of degree zero, satisfiesthe moment condition ∫S{n-1Ω(θ)θαdθ=0, |α|<m and Ω∈ Lip1(Sn-1).
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