Littlewood-Paley算子的交换子的有界性
Littlewood-Paley산자적교환자적유계성
Boundedness for Commutators of Littlewood-Paley Operators
  • 万方数据
    数学进展 수학진전
    ADVANCES IN MATHEMATICS
    2003年 4期 473-480 ,共8页

    刘岚喆%陆善镇%徐景实

    류람철%륙선진%서경실

    Littlewood-paley算子%交换子%BMO(Rn)%Hardy空间%弱Hardy空间 Littlewood-paley算子%交換子%BMO(Rn)%Hardy空間%弱Hardy空間
    Littlewood-paley산자%교환자%BMO(Rn)%Hardy공간%약Hardy공간
    Littlewood-Paley operator%commutator%BMO(Rn)%Hardy space%weak Hardyspace
    设n/n+ε＜p≤1,本文证明了Littlewood-Paley算子与BMO函数构成的交换子的(Hpb,Lp)-型有界性和(Hpb,∞,Lp,∞)-型有界性.
    설n/n+ε＜p≤1,본문증명료Littlewood-Paley산자여BMO함수구성적교환자적(Hpb,Lp)-형유계성화(Hpb,∞,Lp,∞)-형유계성.
    Let n/n+ε＜ p ≤ 1, in this paper, the (Hpb, Lp)-type and (Hpb,∞, Lp,∞)-type bound-edness for the commutators associated with the Littlewood-Paley operators and b ∈ BMO(Rn) areobtained, where Hpb and Hpb,∞ are, respectively, the variants of the standard Hardy spaces and weakHardy spaces.
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