与连续函数等价的z－积分的Riemann型定义

文［１］通过引进强导数给出了一种与连续函数等价的积分ｚ－积分，本文将定义强－Ｒｉｅｍａｎｎ型积分，并证明它与ｚ－积分等价，由此给出了ｚ－积分的Ｒｉｅｍａｎｎ型定义．

STRONG DERIVATIVE AND ITS CONSEQUENCES

ＳＴＲＯＮＧＤＥＲＩＶＡＴＩＶＥＡＮＤＩＴＳＣＯＮＳＥＱＵＥＮＣＥＳ￥ＹａｎｇＫｅｒｅｎ；ＬｕＳｈｉｐａｎ（ＪｉｍｅｉＴｅａｃｈｅｒｓＣｏｌｌｅｇｅＸｉａｍｅｎ３６１０２１）Ａｂｓｔｒａｃｔ：Ｗｅｉｎｔｒｏｄｕｃｅｓｔｒｏｎｇｄｅｒｉｖａｔｉｖｅ，ｔ...

A Class of Oscillatory Singular Integrals

LP mapping properties are considered for a class of oscillatory signular integral operators.Ketwords:Calderon-Zygmund kernel. oscillatory singular integral operator. polynomial growth estimate.