齐次核诱导的p进制积分算子及其应用

On a p-Adic Integral Operator Induced by a Homogeneous Kernel and Its Applications

该文引入并研究了一个核为-λ齐次的p进制积分算子,同时给出了该算子的精确范数估计.作为应用,建立了若干新的具有最佳常数因子的p进制不等式及其等价式,这些结果推广和丰富了已有文献中的相关结果.

In this paper,we introduce and study a p-adic integral operator induced by a homogeneous kernel of degree-λand obtain its sharp norm estimates.As applications,we establish some new p-adic inequalities with the best constant factors and their equivalent forms,which extend some known results in the literature.