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Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains - MaRDI portal

Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains (Q1191459)

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scientific article; zbMATH DE number 60080
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English
Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains
scientific article; zbMATH DE number 60080

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    Hölder and \(L^ p\)-estimates for the \(\bar\partial\)-equation on non- smooth strictly \(q\)-convex domains (English)
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    27 September 1992
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    A solution operator for the Cauchy-Riemann differential equation \(\overline{\partial}u=f\) on strictly \(q\)-convex domains with non-smooth boundary is constructed. The existence of solutions with \(L^ p\) and 1/2-Hölder estimates are proved.
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    Cauchy-Riemann differential equation
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    existence of solutions
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