On the best constants in the Khintchine inequality for Steinhaus variables

DOI10.1007/s11856-013-0006-yzbMath1314.46017OpenAlexW2078904307MaRDI QIDQ476490

Hermann Koenig

Publication date: 2 December 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-013-0006-y

zbMATH Keywords

Khintchine inequalitybest constantsSteinhaus random variable

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probabilistic methods in Banach space theory (46B09) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (17)

Sharp Khinchin-type inequalities for symmetric discrete uniform random variables ⋮ Failure of Nehari's theorem for multiplicative Hankel forms in Schatten classes ⋮ \(L^{1}\)-norm of Steinhaus chaos on the polydisc ⋮ On the constants of the Bohnenblust-Hille and Hardy-Littlewood inequalities ⋮ Interpolation of Hardy spaces of Dirichlet series ⋮ Hilbert points in Hardy spaces ⋮ Majorization revisited: comparison of norms in interpolation scales ⋮ Extensions of Nazarov-Podkorytov lemma in non-commutative spaces of \(\tau\)-measurable operators ⋮ Sharp bounds on \(p\)-norms for sums of independent uniform random variables, \(0 < p < 1\) ⋮ Towards sharp Bohnenblust–Hille constants ⋮ Global maximizers for adjoint Fourier restriction inequalities on low dimensional spheres ⋮ From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments ⋮ Sharp comparison of moments and the log-concave moment problem ⋮ Absolutely summing multilinear operators via interpolation ⋮ Gaussian mixtures: entropy and geometric inequalities ⋮ Riesz projection and bounded mean oscillation for Dirichlet series ⋮ Optimal constants of the mixed Littlewood inequalities: the complex case

Cites Work

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• Extremal properties of Rademacher functions with applications to the Khintchine and Rosenthal inequalities
• The best constant in the Khintchine inequality for complex Steinhaus variables, the case p=1
• On the best constants in the Khinchin inequality
• The best constants in the Khintchine inequality
• Majorization of sequences, sharp vector Khinchin inequalities, and bisubharmonic functions
• Best Khintchine type inequalities for sums of independent, rotationally invariant random vectors

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