Certain prior inequalities are established. Some estimates of the Radon transform between the spaces Lp(R") (1 ≤ p ≤ 2) and certain Lebesgue spaces with mixed norm on a vec- tor bundle are also obtained. Finally the projection-slice theorem is extended by use of the above results.%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.
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