\(L^\infty\) Estimates for the Banach-valued \(\bar{\partial}\)-problem in a disk

DOI10.1007/S13324-022-00776-5OpenAlexW4319068779MaRDI QIDQ2685253

Alexander Brudnyi

Publication date: 20 February 2023

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11238

zbMATH Keywords

Blaschke productcorona probleminterpolating sequence\(\bar{\partial}\)-equation

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Blaschke products (30J10)

Cites Work

• Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\)
• \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
• The Corona theorem for Denjoy domains
• The stable rank of the algebra \(H^ \infty\) equals 1
• Interpolating sequences and the Shilov boundary of \(H^\infty(\Delta)\)
• Topology of the maximal ideal space of \(H^\infty\)
• The problem of ideals of \(H^{\infty }\): beyond the exponent 3/2
• Interpolations by bounded analytic functions and the corona problem
• Unconditional bases of invariant subspaces of a contraction with finite defects
• On the Interpolation of Bounded Sequences by Bounded Functions
• Meromorphic and harmonic functions inducing continuous maps from \(M_{H^\infty}\) into the Riemann sphere
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