Estimates of solutions of the \(H^p\) and \(BMOA\) corona problem

DOI10.1007/s002080050005zbMath0948.32008OpenAlexW2051535119MaRDI QIDQ1966098

Hasse Carlsson, Mats Andersson

Publication date: 12 November 2000

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050005

zbMATH Keywords

Taylor spectrumcorona problemanalytic Toeplitz operators\(BMOA\)\(H^p\)\(H^p\) versionstrictly pseudoconvex domain in \(\mathbb{C}^n\)

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) (H^p)-spaces (42B30) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (13)

Integral representation with weights. II: Division and interpolation ⋮ The \(H^2\)-corona problem on delta-regular domains ⋮ Big Hankel operators on Hardy spaces of strongly pseudoconvex domains ⋮ An \(H^{2}\)-corona theorem on the bidisk for infinitely many functions. ⋮ Holomorphic Campanato spaces on the unit ball ⋮ Division of holomorphic functions and growth conditions ⋮ A Berndtsson-Andersson operator solving \({\overline{\partial}}\)-equation with \(W ^{\alpha }\)-estimates on convex domains of finite type ⋮ Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications ⋮ The Bézout equation for functions of log-type growth in convex domains of finite type ⋮ The corona problem for kernel multiplier algebras ⋮ BMO estimates for the \(H^{\infty} (\mathbb B_n)\) corona problem ⋮ \({\mathcal Q}_p\) spaces in strictly pseudoconvex domains ⋮ \(\mathcal{H}^p\)-corona problem and convex domains of finite type

This page was built for publication: Estimates of solutions of the \(H^p\) and \(BMOA\) corona problem