Wolff type estimates and the \(H^ p\) Corona problem in strictly pseudoconvex domains

DOI10.1007/BF02559572zbMath0827.32017OpenAlexW1998158582MaRDI QIDQ1842620

Hasse Carlsson, Mats Andersson

Publication date: 11 December 1995

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02559572

zbMATH Keywords

strictly pseudoconvex domainCorona problem\(\overline \partial_ b\)-equation

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

Pointwise multipliers and corona type decomposition in \(BMOA\) ⋮ A division problem for \(\bar \partial_ b\)-closed forms ⋮ The \(H^p\) corona theorem in analytic polyhedra ⋮ 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 ⋮ The Bézout equation for functions of log-type growth in convex domains of finite type ⋮ \({\mathcal Q}_p\) spaces in strictly pseudoconvex domains ⋮ On Hardy spaces in complex ellipsoids ⋮ \(\mathcal{H}^p\)-corona problem and convex domains of finite type ⋮ Carleson embedding theorem on convex finite type domains

Cites Work

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• \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
• Zeros of \(H^ p\) functions in several complex variables
• On the Corona problem
• Factorization theorems for Hardy spaces in several variables
• BMO functions and the \(\overline\partial\)-equation
• The Szegö kernel in terms of Cauchy-Fantappie kernels
• Interpolations by bounded analytic functions and the corona problem
• Embedding Strictly Pseudoconvex Domains in Convex Domains
• Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
• Extensions of Hardy spaces and their use in analysis
• Mesures de Carleson d'ordre $\alpha$ et solutions au bord de l'équation $\overline\partial$
• The H p -Corona Theorem for the Polydisc
• The $H^2$ Corona Problem and $\overline \partial_b$ in Weakly Pseudoconvex Domains
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Generators for some rings of analytic functions

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