Two distinguished subspaces of product BMO and Nehari-AAK theory for Hankel operators on the torus

DOI10.1007/BF01306544zbMath0866.47015arXivmath/9512212MaRDI QIDQ2563996

Mischa Cotlar, Cora Sadosky

Publication date: 24 July 1997

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9512212

zbMATH Keywords

bounded Hankel operators with no bounded symbolsHankel operators in the torusKronecker theoremsproduct Pick problemssigma numberssubspace of product BMO

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear operator methods in interpolation, moment and extension problems (47A57)

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Cites Work

• On bounded bilinear forms
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Pick conditions on a uniform algebra and von Neumann inequalities
• Abstract, weighted, and multidimensional Adamjan-Arov-Krein theorems, and the singular numbers of Sarason commutants
• Nehari and Nevanlinna-Pick problems and holomorphic extensions in the polydisk in terms of restricted BMO
• A problem in prediction theory
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
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