ω(t)型和(Log,ω(t))型Caldero′n-Zygmund算子的有界性

Bound of Caldero' n-Zygmund Operator of ω(t) and (log,ω(t)) Types

Soria证明了Hilbert变换H在Hardy型块空间B^0_q (R)上的有界性,陆善镇对有δ标准核的Caldero'n-Zygmund算子T,建立了此有界性在加权情形中的拓广,本短文就更加广泛的ω(t)型和(Log,ω(t))型的Caldero'n-Zygmund算子,也建立了这种有界性.

Soria proved that Hilbert transformation H,is bounded on the block space of Hardy type.For Caldero'n-Zygmund operator that has a δ standard core Lu Shan-Zheng established the extension of the boundedness in weighted situation. In this paper we will establish the boundedness associated with the more extensive Calderon-Zygmund operator of ω(t) and (log,ω(t)) types.