Régularité höldérienne de l'opérateur \(\bar\partial\) sur le triangle de Hartogs. (Hölder regularity of the \(\bar\partial\) operator on the Hartogs triangle.)

DOI10.5802/aif.1277zbMath0735.32004OpenAlexW2524894638MaRDI QIDQ811497

Jacques Chaumat, Anne-Marie Chollet

Publication date: 1991

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_4_867_0

zbMATH Keywords

Hölder regularityintegral formulaCauchy-Riemann equationsHartogs triangle

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)

Related Items

On the Hausdorff property of some Dolbeault cohomology groups ⋮ Hardy spaces for a class of singular domains ⋮ \(L^p\)-norm estimate of the Bergman projection on Hartogs triangle ⋮ Extendability and the \(\overline{\partial}\) operator on the Hartogs triangle ⋮ Weighted estimates for the Bergman projection on the Hartogs triangle ⋮ Estimates for \(\overline{\partial}\) on domains in \(\mathbb{C}^n\) and \(\mathbb{CP}^n\) ⋮ Sobolev regularity of the \(\overline\partial\)-equation on the Hartogs triangle ⋮ \(\mathcal C^{k+\alpha}\)-estimates for the \(\bar \partial\)-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 ⋮ A pseudoconvex domain with bounded solutions for \(\overline{\partial}\), but not admitting \({\mathcal C}^ 1\)-estimates ⋮ Function theory and holomorphic maps on symmetric products of planar domains

Cites Work

• Sur l'opérateur \(d\) et les fonctions différentiables au sens de Whitney
• Generators of the maximal ideals of \(A(\bar{D})\)
• Generators for some rings of analytic functions
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