An interpolation approach to Hardy-Littlewood inequalities for norms of operators on sequence spaces

DOI10.1016/S0024-3795(00)00184-1zbMath0988.47016MaRDI QIDQ5943021

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Publication date: 22 July 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

sequence spacesnorms of bilinear formssharp lower bounds

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) Interpolation between normed linear spaces (46B70)

Related Items (10)

The Hardy-Littlewood Inequalities in Sequence Spaces ⋮ Equivalence constants for certain matrix norms. II ⋮ Optimal exponents for Hardy-Littlewood inequalities for \(m\)-linear operators ⋮ Optimal constants for a mixed Littlewood type inequality ⋮ A regularity principle in sequence spaces and applications ⋮ Norm estimates for matrix operators between Banach spaces ⋮ Hardy-Littlewood inequalities for norms of positive operators on sequence spaces ⋮ Coefficients of multilinear forms on sequence spaces ⋮ The Orlicz inequality for multilinear forms ⋮ Remarks on an inequality of Hardy and Littlewood

Cites Work

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• Weak-strong continuity of multilinear mappings and the Pełczyǹski-Pitt theorem
• On the interpolation of injective or projective tensor products of Banach spaces
• Schur multipliers
• Equivalence constants for matrix norms: A problem of Goldberg
• Equivalence constants forl_pnorms of matrices
• BILINEAR FORMS BOUNDED IN SPACE [p, q]

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