A Hilbert-type linear operator with the norm and its applications

DOI10.1155/2009/494257zbMath1179.47033OpenAlexW2105906966MaRDI QIDQ1035509

Wuyi Zhong

Publication date: 3 November 2009

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

Full work available at URL: https://eudml.org/doc/117808

zbMATH Keywords

normlinear operatorHilbert inequality

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (8)

Hilbert-Type Integral Operators: Norms and Inequalities ⋮ On a multiple Hilbert's inequality with parameters ⋮ A more accurate Mulholland-type inequality in the whole plane ⋮ A new Hilbert-type linear operator with a composite kernel and its applications ⋮ On a reverse Mulholland's inequality in the whole plane ⋮ On a new extension of Mulholland's inequality in the whole plane ⋮ Hardy-Hilbert-type inequalities with a homogeneous kernel in discrete case ⋮ A reverse Mulholland-type inequality in the whole plane with multi-parameters

Cites Work

• On a new weighted Hilbert inequality
• The Hilbert-type integral inequalities with a homogeneous kernel of \( - \lambda \)-degree
• On some new inequalities similar to Hilbert's inequality
• On multiple Hardy-Hilbert integral inequalities with some parameters
• On a multiple Hilbert-type integral inequality with the symmetric kernel
• Hilbert's type linear operator and some extensions of Hilbert's inequality
• Optimal control of a functional equation associated with closed range selfadjoint operators
• Some new inverse type Hilbert integral inequalities

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