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Volume 10, Number 4, 2020, Pages 1326-1334                                                                DOI:10.11948/20190194
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.
      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.
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