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On a p-adic Hilbert-type integral operator and its applications
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.
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