【摘要】 利用Littlewood-Paley理论和Fourier变换估计等方法研究了Rn空间上一类沿多项式曲线的粗糙核Marcinkiewicz积分算子,并建立了这类算子在一些相当弱的尺寸条件下的Lp(1/(1-α)<p<1/α)有界性,从而对Fan D.等人的结果进行了推广和改进.更多还原

【Abstract】 On the basis of Littlewood-Paley theory and Fourier transforms,this paper is devoted to the study of a class of truncated Marcinkiewicz integral operators along polynomial curves on Rn.Some rather weak size conditions which imply the Lp-boundedness of these operators for some p(1/(1-α)<p<1/α) are given.更多还原