CAJ | 학술논문

本文研究以Ω(x)/|x|n为核的极大齐次奇异积分算子在空间BMO(Rn)上的性质,其中Ω是一个零阶齐次函数且在单位球面上均值为零.可以证明:若Ω满足某种最小尺度条件和某种L1-Dini型正则性条件,则此极大奇异积分算子是由BMO(Rn)到BLO(Rn)的有界算子.
본문연구이Ω(x)/|x|n위핵적겁대제차기이적분산자재공간BMO(Rn)상적성질,기중Ω시일개령계제차함수차재단위구면상균치위령.가이증명:약Ω만족모충최소척도조건화모충L1-Dini형정칙성조건,칙차겁대기이적분산자시유BMO(Rn)도BLO(Rn)적유계산자.
The behavior on the space BMO(Rn)is considered for the maximal operator associated with the homogeneous singular integral whose kernel is Ω(x)/|x|n,where Ω is homogeneous of degree zero and has mean.value zero on the unit sphere.It is proved that if Ω satisfies some minimum size condition and an L1-Dini type regularity condition,then maximal singular integral operator is bounded from BMO(Rn)to BLO(Rn).