ON A <i>P</i>-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS

Huabing Li; Jianjun Jin

doi:10.11948/20190194

2020 Volume 10 Issue 4

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Huabing Li, Jianjun Jin. ON A P-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1326-1334. doi: 10.11948/20190194

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Huabing Li, Jianjun Jin. ON A P-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(4): 1326-1334. doi: 10.11948/20190194

ON A P-ADIC HILBERT-TYPE INTEGRAL OPERATOR AND ITS APPLICATIONS

Huabing Li¹,
Jianjun Jin^1, ,

1.
School of Mathematics Sciences, Hefei University of Technology, Xuancheng Campus, Xuancheng 242000, China

Corresponding author: Email address:jinjjhb@163.com(J. Jin)

Abstract

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.
- p-adic field /
- p-adic Hilbert-type integral operator /
- p-adic Hilbert-type inequalities /
- norm of operator.
MSC: 11F85, 26D15

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References

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