Weighted \(L^p\) estimates for the \(\bar\partial\)-equation on convex domains of finite type (Q1432098)
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scientific article; zbMATH DE number 2074334
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted \(L^p\) estimates for the \(\bar\partial\)-equation on convex domains of finite type |
scientific article; zbMATH DE number 2074334 |
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Weighted \(L^p\) estimates for the \(\bar\partial\)-equation on convex domains of finite type (English)
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14 June 2004
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We quote the author's abstract: `We prove non-isotropic \(L^p\) \((1\leq p \leq \infty)\) estimates with weights for solutions of the Cauchy-Riemann equation on bounded convex domains of finite type in \(\mathbb{C}^{n}\) using the integral kernel method. We also give an example which guarantees the optimum of the estimates.' This generalizes the \(p=1\) case due to Cumenge.
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weighted \(L^{p}\)-estimates
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convex domains of finite type
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\(\overline{\partial}\)-equation
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