The multiplicative Hilbert matrix

DOI10.1016/j.aim.2016.07.019zbMath1356.47035arXiv1411.7294OpenAlexW1549056561MaRDI QIDQ317323

Aristomenis G. Siskakis, Kristian Seip, Ole Fredrik Brevig, Karl-Mikael Perfekt, Dragan Vukotić

Publication date: 30 September 2016

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

Full work available at URL: https://arxiv.org/abs/1411.7294

zbMATH Keywords

Mellin transformRiemann zeta functionspectrumCarleson measureoperator normHilbert matrixcommutationBohr liftHardy spaces of Dirichlet seriesinfinite dimensional torusmultiplicative Hankel forms

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Integral operators (47G10) (H^p)-spaces (42B30) Zeta and (L)-functions: analytic theory (11M99)

Related Items

Toeplitz operators on the Hardy space over the infinite-dimensional polydisc ⋮ A Helson matrix with explicit eigenvalue asymptotics ⋮ On finite sections of the multiplicative Hilbert inequalities ⋮ Contractive inequalities for Bergman spaces and multiplicative Hankel forms ⋮ Norm of the Hilbert matrix on Bergman spaces ⋮ Some open questions in analysis for Dirichlet series ⋮ Norm of the Hilbert matrix on logarithmically weighted Bergman spaces ⋮ Helson operators and coinvariant subspaces ⋮ Volterra operators and Hankel forms on Bergman spaces of Dirichlet series ⋮ Restriction theorems for Hankel operators ⋮ Weak product spaces of Dirichlet series ⋮ Volterra operators on Hardy spaces of Dirichlet series ⋮ The critical point and the \(p\)-norm of the Hilbert \(L\)-matrix ⋮ Linear space properties of $H^p$ spaces of Dirichlet series ⋮ Composition operators and embedding theorems for some function spaces of Dirichlet series ⋮ Riesz projection and bounded mean oscillation for Dirichlet series

Cites Work

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• A lower bound in Nehari's theorem on the polydisc
• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• Hardy spaces of Dirichlet series and their composition operators
• On bounded bilinear forms
• Norm of the Hilbert matrix on Bergman and Hardy spaces and a theorem of Nehari type
• Some H\(^p\) spaces which are uncomplemented in L\(^p\)
• Representing Measures and Hardy Spaces for the Infinite Polydisk Algebra
• On the boundary behaviour of the Hardy spaces of Dirichlet series and a frame bound estimate
• Hankel forms and sums of random variables
• Failure of Nehari's theorem for multiplicative Hankel forms in Schatten classes
• Hankel forms
• Integral means and boundary limits of Dirichlet series
• Composition operators and the Hilbert matrix
• On the Spectrum of Hilbert's Matrix
• Diophantine Approximation and Dirichlet Series

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