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Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary - MaRDI portal

Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary (Q1113333)

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scientific article; zbMATH DE number 4081959
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English
Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary
scientific article; zbMATH DE number 4081959

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    Solution of the \({\bar \partial}\)-equation with uniform estimates on strictly q-convex domains with non-smooth boundary (English)
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    1989
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    1/2-Hölder estimates are proved for the \({\bar \partial}\)-equation on strictly q-convex domains with non-smooth boundary, i.e. for domains D defined by a \((q+1)\)-convex function \(\rho\) where \(d\rho (\zeta)=0\) on the boundary is admitted.
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    q-convex domains
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    uniform estimates for delta-bar equation
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