\(\mathcal C^{k+\alpha}\)-estimates for the \(\bar \partial\)-equation on the Hartogs triangle

DOI10.1007/BF01934347zbMath0756.32002OpenAlexW353836266MaRDI QIDQ1196013

Lan Ma, Joachim Michel

Publication date: 12 January 1993

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

Full work available at URL: https://eudml.org/doc/165023

zbMATH Keywords

regularityestimatesbidiscHartogs triangle(partial \(d\))-bar-equation

Mathematics Subject Classification ID

Boundary behavior of holomorphic functions of several complex variables (32A40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

Hardy spaces for a class of singular domains ⋮ \(L^p\) boundedness of Forelli-Rudin type operators on the Hartogs triangle ⋮ Weighted Sobolev estimates of the truncated Beurling operator ⋮ Sobolev regularity of the \(\overline\partial\)-equation on the Hartogs triangle ⋮ $L^p$ mapping properties of the Bergman projection on the Hartogs triangle ⋮ A solution operator for \(\bar\partial\) on the Hartogs triangle and \(L^p\) estimates ⋮ Weighted estimates for Forelli-Rudin type operators on the Hartogs triangle ⋮ A pseudoconvex domain with bounded solutions for \(\overline{\partial}\), but not admitting \({\mathcal C}^ 1\)-estimates

Cites Work

• Unnamed Item
• Unnamed Item
• Régularité höldérienne de l'opérateur \(\bar\partial\) sur le triangle de Hartogs. (Hölder regularity of the \(\bar\partial\) operator on the Hartogs triangle.)
• Lösungsoperatoren für den Cauchy-Riemann-Komplex mit \(\mathcal C^K\)- Abschätzungen
• Spectre de \(A(\bar\Omega)\) pour des domaines bornes faiblement pseudoconvexes réguliers
• Generators of the maximal ideals of \(A(\bar{D})\)
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds