On a Hilbert-type operator with a symmetric homogeneous kernel of \(-1\)-order and applications

DOI10.1155/2007/47812zbMath1137.47024OpenAlexW1989777868WikidataQ59213356 ScholiaQ59213356MaRDI QIDQ2471947

Bicheng Yang

Publication date: 19 February 2008

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128927

zbMATH Keywords

Hilbert-type operatorHilbert-type inequalitiessymmetric homogeneous kernel

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Inequalities for sums, series and integrals (26D15)

Related Items (6)

Recent developments of Hilbert-type discrete and integral inequalities with applications ⋮ On some extensions of Hardy-Hilbert's inequality and applications ⋮ A more accurate reverse half-discrete Hilbert-type inequality ⋮ On a Hilbert-type linear series operator and its applications ⋮ A Hilbert-type operator with a symmetric homogeneous kernel of two parameters and its applications ⋮ A survey on the study of Hilbert-type inequalities

Cites Work

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• On the norm of a Hilbert's type linear operator and applications
• On new generalizations of Hilbert's inequality
• On the norm of a self-adjoint operator and applications to the Hilbert's type inequalities
• Best constants for certain multilinear integral operators
• On the norm of an integral operator and applications
• On the norm of a self-adjoint operator and a new bilinear integral inequality

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