On an inequality of Hardy, Littlewood, and Pólya

DOI10.1016/S0001-8708(71)80002-6zbMath0224.47021MaRDI QIDQ2548419

Tosio Kato

Publication date: 1971

Published in: Advances in Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Groups and semigroups of linear operators (47D03)

Related Items (30)

On Landau-Kolmogorov inequalities for dissipative operators ⋮ An Extension of the Hardy-Littlewood Inequality ⋮ A local Landau type inequality for semigroup orbits ⋮ A Hardy-Littlewood integral inequality on finite intervals with a concave weight ⋮ New Carlson-Bellman and Hardy-Littlewood dynamic inequalities ⋮ Approximation of differentiation operator in the space \(L_2\) on semiaxis ⋮ Remarks on best constants for norm inequalities among powers of an operator ⋮ Optimal Landau-Kolmogorov inequalities for dissipative operators in Hilbert and Banach spaces ⋮ On Landau–Kato inequalities via semigroup orbits ⋮ Universality of the differentiation operator in \(L^ 2(0,\infty)\) and inequalities for the power of dissipative operators ⋮ An Extended Multidimensional Half-Discrete Hardy–Hilbert-Type Inequality with a General Homogeneous Kernel ⋮ An algebraic theory of Landau-Kolmogorov inequalities ⋮ ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE ⋮ Approximation of the differentiation operator by linear bounded operators on the class of twice differentiable functions in the space \(L_2(0,\infty)\) ⋮ A Kallman-Rota inequality for nearly Euclidean spaces ⋮ Dissipative operator versions of some classical inequalities ⋮ A survey of some norm inequalities ⋮ On two integral inequalities ⋮ Best approximation of the differentiation operator in the space \(L_2\) on the semiaxis ⋮ Inequalities for powers of unbounded operators ⋮ Stability of deficiency indices ⋮ A factorization of a quadratic pencils of accretive operators and applications ⋮ Ramifications of Landau's inequality ⋮ Landau-Kolmogorov type inequalities for curves on Riemannian manifolds ⋮ Hadamard–Landau inequalities in uniformly convex spaces ⋮ Dissipative operators and series inequalities ⋮ Equations d'évolution du second ordre associees à des opérateurs monotones ⋮ On inequalities for powers of linear operators and for quadratic forms ⋮ Norm inequalities of product form in weighted L^p spaces ⋮ Inequalities for quadratic polynomials in Hermitian and dissipative operators

Cites Work

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