Sharp estimates for \(\bar\partial\) on convex domains of finite type
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Publication:1416627
DOI10.1007/BF02388789zbMath1028.35115MaRDI QIDQ1416627
Publication date: 15 December 2003
Published in: Arkiv för Matematik (Search for Journal in Brave)
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)
Related Items
The raising steps method: applications to the \(\bar{\partial}\) equation in Stein manifolds ⋮ \(C^k\)-estimates for \(\bar{\partial}\)-equation on certain convex domains of infinite type in \(\mathbb{C}^n\) ⋮ Hölder estimates on lineally convex domains of finite type ⋮ Hölder estimates for homotopy operators on strictly pseudoconvex domains with \(C^2\) boundary ⋮ Henkin-Ramirez kernels ⋮ Anisotropic estimates in convex domains of finite type ⋮ Estimates for solutions of the \(\bar\partial\)-equation and application to the characterization of the zero varieties of the functions of the Nevanlinna class for lineally convex domains of finite type ⋮ 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 ⋮ Integral Representations in Complex Analysis: From Classical Results to Recent Developments ⋮ Weighted and boundary \(L^{p}\) estimates for solutions of the \(\overline{\partial}\)-equation on lineally convex domains of finite type and applications ⋮ Integral formulas and the Ohsawa-Takegoshi extension theorem ⋮ Uniform subelliptic estimates on scaled convex domains of finite type ⋮ 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 ⋮ Geometry of pseudo-convex domains of finite type with locally diagonalizable Levi form and Bergman kernel ⋮ 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
Cites Work
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- Sharp Hölder estimates for \({\bar\partial}\) on ellipsoids
- Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds
- Zero varieties for the Nevanlinna class in convex domains of finite type in \(\mathbb{C}^n\)
- Henkin-Ramirez kernels with weight factors
- Characterizations of various domains of holomorphy via \(\overline\partial\) estimates and applications to a problem of Kohn
- Cauchy-Riemann equation in real ellipsoids of \(\mathbb{C}^n\)
- Support functions for convex domains of finite type
- Hölder estimates on convex domains of finite type
- Optimal \(L^ p\) estimates for the \(\bar \partial\)-equation on complex ellipsoids in \(\mathbb{C}^ n\)
- The Bergman projection as a singular integral operator
- Mapping properties of the Bergman projection on convex domains of finite type
- Estimates on the Bergman kernels of convex domains
- Hölder estimates on CR manifolds with a diagonalizable Levi form
- Zero sets of functions in the Nevanlinna or the Nevanlinna-Djrbachian classes.
- Optimal Hoelder and L p Estimates for ∂ b on the Boundaries of Real Ellipsoids in C n
- Estimées Lipschitz optimales dans les convexes de type fini
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