极大奇异积分算子的RBLO估计(英文)

A RBLO estimate for maximal singular integral operator

设μ是Rd上非负的Radon测度,且满足增长性条件.设有核为k(.,.)的极大Calderòn-Zygmund奇异积分算子,当k(.,.)满足一定条件时,极大Calderòn-Zygmund奇异积分算子是从RBMO(μ)到RBLO(μ)有界的.

Let μ be a positive Radon measure and satisfy a growth condition on Rd.Considering maximal Calderón-Zygmund singular integral operator whose kernel is k（x,y）.It is shown that if k（·,·） satisfies some size condition,Lipschitz condition and vanishing condition,maximal Calderón-Zygmund singular integral operator is bounded from RBMO（μ） into RBLO（μ）.