Nonisotropic Hölder estimates on convex domains of finite type (Q1885576)
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scientific article; zbMATH DE number 2114466
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonisotropic Hölder estimates on convex domains of finite type |
scientific article; zbMATH DE number 2114466 |
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Nonisotropic Hölder estimates on convex domains of finite type (English)
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11 November 2004
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Let \(D:=\{\rho<0\}\) be a bounded convex domain with \(C^\infty\) boundary and let \(T_q\) be the solution operator of the Cauchy-Riemann equation \({\bar\partial} u=f,\) constructed in [\textit{K. Diederich} and \textit{J. E. Fornæss}, Math. Z. 230, 145--164 (1999; Zbl 1045.32016)]. The author proves Hölder type estimates for the solution \(T_q f.\)
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Cauchy-Riemann equation
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convex domains
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Hölder estimates
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