Linear functions and duality on the infinite polytorus

DOI10.1007/s13348-019-00243-8zbMath1421.42005arXiv1806.10849OpenAlexW3105647872WikidataQ128446439 ScholiaQ128446439MaRDI QIDQ2323318

Ole Fredrik Brevig

Publication date: 30 August 2019

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10849

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (H^p)-spaces (42B30) Fourier series and coefficients in several variables (42B05)

Related Items (4)

Hilbert points in Hardy spaces ⋮ A converse to the Schwarz lemma for planar harmonic maps ⋮ Minimal norm Hankel operators ⋮ 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
• \(L^{\infty }\) to \(L^p\) constants for Riesz projections
• Some arithmetic properties of short random walk integrals
• Contractive inequalities for Hardy spaces
• Representing Measures and Hardy Spaces for the Infinite Polydisk Algebra
• Failure of Nehari's theorem for multiplicative Hankel forms in Schatten classes
• Best Khintchine type inequalities for sums of independent, rotationally invariant random vectors

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