【摘要】 本文得到 Radon变换的一些先验不等式结果 ;当视 Radon变换为函数空间 Lp(p≤ 2 )到带混合范数的 Lebesgue空间的算子时 ,本文还建立了一些估计式并把投影切片定理推广到更一般函数类更多还原

【Abstract】 Certain prior inequalities are established. Some estimates of the Radon transform between the spaces L p(R n)(1≤p≤2) and certain Lebesgue spaces with mixed norm on a vector bundle are also obtained. Finally the projection-slice theorem is extended by use of the above results.更多还原