Hölder and \(L^p\) estimates for \(\overline {\partial}\) on convex domains of finite type depending on Catlin's multitype
From MaRDI portal
Publication:1433417
DOI10.1007/s002090100338zbMath1048.32024OpenAlexW2312444484MaRDI QIDQ1433417
Publication date: 17 June 2004
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s002090100338
Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25)
Related Items (23)
Nonisotropic Hölder estimates on convex domains of finite type ⋮ \(C^k\)-estimates for the \(\overline\partial\)-equation on concave domains of finite type ⋮ Dyadic decomposition of convex domains of finite type and applications ⋮ Gromov hyperbolicity and the Kobayashi metric on convex domains of finite type ⋮ Hölder estimates on lineally convex domains of finite type ⋮ Limits of an increasing sequence of complex manifolds ⋮ Supnorm and \(f\)-Hölder estimates for \(\overline\partial\) on convex domains of general type in \(\mathbb C^2\) ⋮ Extension and restriction of holomorphic functions on convex finite type domains ⋮ Optimal Lipschitz estimates for the \(\bar\partial\) equation on a class of convex domains ⋮ A Berndtsson-Andersson operator solving \({\overline{\partial}}\)-equation with \(W ^{\alpha }\)-estimates on convex domains of finite type ⋮ Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications ⋮ Gain of regularity in extension problem on convex domains ⋮ Extremal bases and Hölder estimates for \(\overline\partial\) on convex domains of finite type ⋮ Weighted Lipschitz estimates for \(\bar {\partial }\) on convex domains of finite type ⋮ Extension problems in convex domains of finite type ⋮ On the compactness of the \(\overline{\partial}\)-Neumann operator ⋮ \(\mathcal{H}^p\)-corona problem and convex domains of finite type ⋮ Estimates for invariant metrics on $\mathbb C$-convex domains ⋮ On different extremal bases for ℂ-convex domains ⋮ Hölder and \(L^p\) estimates for the \({\bar{\partial }}\)-equation in a class of convex domains of infinite type in \({\mathbb{C}}^n\) ⋮ \(C^k\)-estimates for the \(\overline\partial_b\)-equation on convex domains of finite type ⋮ Restriction of Hardy space to linear subvarieties ⋮ Extension from linear subvarieties for the Bergman scale of spaces on convex domains
This page was built for publication: Hölder and \(L^p\) estimates for \(\overline {\partial}\) on convex domains of finite type depending on Catlin's multitype