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

DOI10.11948/20190194OpenAlexW3111265415MaRDI QIDQ4964230

Huabing Li, Jianjun Jin

Publication date: 25 February 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/20190194

zbMATH Keywords

\(p\)-adic fieldnorm of operator\(p\)-adic Hilbert-type inequalities\(p\)-adic Hilbert-type integral operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Integral operators (47G10) Inequalities for sums, series and integrals (26D15) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (3)

Weighted Triebel-Lizorkin and Herz spaces estimates for p-adic Hausdorff type operator and its applications ⋮ Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces ⋮ The \(p\)-adic Hausdorff operator and some applications to Hardy-Hilbert type inequalities

Cites Work

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• On the norm of a Hilbert's type linear operator and applications
• New half-discrete Hilbert inequalities for three variables
• Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators
• On a strengthened multidimensional Hilbert-type inequality
• Fourier Analysis on Local Fields. (MN-15)
• On the extended Hilbert’s inequality
• Hilbert-Type Integral Inequalities

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