摘要
研究了Marcinkiewicz积分 μ( f)在广义Campamato空间Ep ,Φ的有界性 ,主要是以更弱的条件 ,从本质上改进和推广了韩永生在BMO上 ,邱司刚在Campanato空间上以及谭昌眉在广义Campanato空间上的有界性结论 .他们的要求都是在Ω连续且满足Lipα( 0 <α≤ 1)的条件 。
The boundedness of Marcinkiewicz integral μ(f) in the generalized Campanato space E p,Φ is studied. The results are substantial improvements and extension of known results, including Han Yongsheng, Qiu Sigang and Tan Changmei. The continuous condition in their results of Ω is removed by a class of Dini condition.
出处
《北京师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2000年第6期711-717,共7页
Journal of Beijing Normal University(Natural Science)
基金
国家自然科学基金资助项目(19971010)
