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 Volume 10, Number 4, 2020, Pages 1326-1334 On a p-adic Hilbert-type integral operator and its applications Huabing Li,Jianjun Jin Keywords:p-adic field, p-adic Hilbert-type integral operator, p-adic Hilbert-type inequalities, norm of operator. Abstract: In this note, we deal with a $p$-adic Hilbert-type integral operator induced by a symmetric homogeneous kernel of degree $-1$ and obtain the expression of the norm of this operator. As applications, we establish some new $p$-adic Hilbert-type inequalities with best constant factors. PDF      Download reader