Lp mapping properties for the Cauchy–Riemann equations on Lipschitz domains admitting subelliptic estimates
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Publication:4611603
DOI10.1080/17476933.2018.1434628zbMath1417.32040arXiv1705.07374OpenAlexW2963427801MaRDI QIDQ4611603
Phillip S. Harrington, Yunus E. Zeytuncu
Publication date: 21 January 2019
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.07374
(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)
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Cites Work
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- Weighted Bergman projections on the Hartogs triangle
- Weighted Bergman projections on the Hartogs triangle: exponential decay
- A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type
- A sufficient condition for subellipticity of the \(\bar {\partial}\)-Neumann operator
- A quantitative analysis of Oka's lemma
- The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries
- Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- On \(L^ p\) and Hölder estimates for the \({\bar \partial}\)-Neumann problem on strongly pseudo-convex domains
- Sobolev embedding in \(\mathbb{C}^ n\) and the \(\bar \partial\)-equation
- Estimates for the \(\bar \partial\)-Neumann problem in pseudoconvex domains of finite type in \(\mathbb{C}^ 2\)
- Plurisubharmonic functions and subellipticity of the \(\bar\partial\)-Neumann problem on non-smooth domains
- A Sobolev mapping property of the Bergman kernel
- \(L^p\) estimates for \(\overline{\partial}\) in some weakly pseudoconvex domains in \(\mathbb{C}^n\)
- The inhomogeneous Dirichlet problem in Lipschitz domains
- Subelliptic estimates for the \(\overline\partial\)-Neumann operator on piecewise smooth strictly pseudoconvex domains
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Harmonic integrals on strongly pseudo-convex manifolds. II
- $L^p$ mapping properties of the Bergman projection on the Hartogs triangle
- 𝐿^{𝑝} regularity of weighted Bergman projections
- Hölder and Lp estimates for solutions of ∂u = f in strongly pseudoconvex domains
- Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.