Limits on an extension of Carleson's \(\bar\partial\)-theorem

DOI10.1007/BF02921564zbMath0913.30027MaRDI QIDQ1923005

Jeffrey Diller

Publication date: 25 May 1999

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Riemann surfacesCarleson measuresCauchy-Riemann equationsPoincaré metric

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Differentials on Riemann surfaces (30F30) Covering theorems in conformal mapping theory (30C25)

Related Items (1)

A new construction of Riemann surfaces with corona

Cites Work

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• Corona theorem with bounds for finitely sheeted disks
• The Corona theorem for Denjoy domains
• Analytic multifunctions, the \({\bar\partial}\)-equation, and a proof of the Corona theorem
• Qualitative properties of solutions of certain fourth order linear differential equations
• Bounded holomorphic functions and projections
• On Poincaré series with application to \(H^ P\) spaces on bordered Riemann surfaces
• Localization of the corona problem
• Interpolations by bounded analytic functions and the corona problem
• Two theorems concerning functions holomorphic on multiply connected domains

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