Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary

DOI10.1007/s00208-018-1693-9zbMath1432.32049arXiv1702.08872OpenAlexW2962899146MaRDI QIDQ2423430

Xianghong Gong

Publication date: 21 June 2019

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

Full work available at URL: https://arxiv.org/abs/1702.08872

zbMATH Keywords

extension operatorboundary regularityhomotopy formulaHölder estimatestrongly pseudoconvex domainminimal smoothness\(\overline \partial\)-equation

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Strongly pseudoconvex domains (32T15)

Related Items

Boundary regularity of Bergman kernel in Hölder space ⋮ A solution operator for the \overline∂ equation in Sobolev spaces of negative index ⋮ Weighted Sobolev \(L^p\) estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ Regularity of a \(\overline{\partial}\)-solution operator for strongly \(\mathbf{C}\)-linearly convex domains with minimal smoothness ⋮ Hölder estimates for the ∂̄ problem for (p,q) forms on product domains

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