Hölder and \(L^ p\) estimates for \({\bar \partial}_ b\) on weakly pseudo-convex boundaries in \({\mathbb C}^ 2\)

DOI10.1007/BF01458533zbMath0617.32031MaRDI QIDQ1821915

Mei-Chi Shaw

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164344

zbMATH Keywords

pseudoconvex domaintangential Cauchy-Riemann equationHölder and \(L^ p\) estimates

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99)

Related Items

Zero varieties for the Nevanlinna class in weakly pseudoconvex domains of maximal type \(F\) in \(\mathbb {C}^2\) ⋮ \(L^p\)-estimates for harmonic Bergman projection on a class of convex domains of infinite type in \(\mathbb{C}^2\) ⋮ Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in \(\mathbb {C}^2\) ⋮ Unnamed Item ⋮ Optimal Hölder and \(L^{p}\) estimates for \(\overline{\partial}_b\) on boundaries of convex domains of finite type. ⋮ An approximation theorem for Hardy functions on $\mathbb {C}$-linearly convex domains of infinite type in $\mathbb {C}^2$ ⋮ Composition operators between Hardy spaces on linearly convex domains in \(\mathbb{C}^2\) ⋮ The Cauchy transform and Henkin operator on convex domains of maximal type \(F\) in \(\mathbb{C}^2\) ⋮ \(C^k\)-estimates for the \(\overline\partial_b\)-equation on convex domains of finite type

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