On Hölder and BMO estimates for \(\overline \partial\) on convex domains in \(\mathbb{C}^ 2\)

DOI10.1007/BF02921578zbMath0768.32013OpenAlexW2327511081MaRDI QIDQ1203504

R. Michael Range

Publication date: 10 February 1993

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

Full work available at URL: https://doi.org/10.1007/bf02921578

zbMATH Keywords

Lipschitz spaceHölder regularityCauchy-Riemann equationsspace of functions of bounded mean oscillationbounded pseudoconvex domainintegral solution operator

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Hölder type estimates for the \(\partial \)-equation in strongly pseudoconvex domains ⋮ Lp‐Estimates for the ∂¯b‐equation on a class of infinite type domains ⋮ Weighted Sobolev \(L^p\) estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ \( L^p\) and Hölder estimates for Cauchy-Riemann equations on convex domain of finite/infinite type with piecewise smooth boundary in \(\mathbb{C}^2\) ⋮ Hölder and \(L^p\) estimates for the \({\bar{\partial }}\)-equation in a class of convex domains of infinite type in \({\mathbb{C}}^n\)

Cites Work

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