Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces
From MaRDI portal
Publication:1880442
DOI10.1007/BF02432909zbMath1081.46032arXivmath/0110149MaRDI QIDQ1880442
Publication date: 28 September 2004
Published in: Arkiv för Matematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0110149
Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Harmonic functions on Riemann surfaces (30F15)
Related Items (12)
On stable rank of \(H^\infty\) on coverings of finite bordered Riemann surfaces ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\) ⋮ Projective free algebras of bounded holomorphic functions on infinitely connected domains ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ Projective freeness and Hermiteness of complex function algebras ⋮ On the maximal ideal spaces of 𝐇^{∞} on coverings of bordered Riemann surfaces ⋮ Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). ⋮ On the approximation property for Banach spaces predual to \(H^\infty\)-spaces ⋮ Extension of matrices with entries in $H^{\infty }$ on coverings of Riemann surfaces of finite type ⋮ Corona theorem for \(H^{\infty }\) on covering of Riemann surfaces of finite type ⋮ Corona Problem for H ∞ on Riemann Surfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hardy classes on infinitely connected Riemann surfaces
- Critical points of Green's function, harmonic measure, and the corona problem
- Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\).
- A uniqueness property for \(H^{\infty}\) on coverings of projective manifolds
- A new construction of Riemann surfaces with corona
- Bounded holomorphic functions and projections
- On analytic fiber bundles. I: Holomorphic fiber bundles with infinite dimensional fibers
- Bounded analytic functions and Gleason parts
- \({\mathcal H}^p\) sections of vector bundles over Riemann surfaces
- Interpolations by bounded analytic functions and the corona problem
- An Interpolation Problem for Bounded Analytic Functions
- On Bounded Analytic Functions in Finitely Connected Domains
- Holomorphic Functions of Slow Growth on Nested Covering Spaces of Compact Manifolds
- Bounded Holomorphic Functions on Finite Riemann Surfaces
This page was built for publication: Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces
