中文摘要：

我们知道，零次齐次函数Ω（z）满足L^q-Dini条件时，奇异积分算子T是L^p有界的，其中1〈p〈∞．本文讨论Ω（z）满足条件强于L^q—Dini条件下，利用T的L^p有界性，证明了T在广义Canpanato空间的有界性。

英文摘要：

It is known that when a homogeneous function of degree zero satisfies L^q -Dini condition, the singular integral operator is bounded on L^p（1 〈 p 〈 ∞）. In this paper, we discuss that Ω（x） satisfies the condition is stronger than that of L^q- Dini and using the boundedness of T on L^p, we will prove that T is also bounded on the generalized Campanato space.