机构地区: 赣南师范学院数学与计算机科学学院
出 处: 《数学物理学报(A辑)》 2012年第5期914-927,共14页
摘 要: 主要利用Littlewood-Paley理论和Fourier变换估计研究在一些相当弱的尺寸条件下,建立多重Marcinkiewicz积分算子的Lp有界性,从而改进和推广前人的结论. In this article, certain multiple Marcinkiewicz integral operators were studied. The Lp boundedness for these operators are established for some fixed p under some rather weak size by using Littlewood-Paley theory and Fourier transforms, the main results essentially improve and extend some known results.