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Formulas for approximate solutions of the \(\partial\overline{\partial}\)- equation in a strictly pseudoconvex domain - MaRDI portal

Formulas for approximate solutions of the \(\partial\overline{\partial}\)- equation in a strictly pseudoconvex domain (Q1892728)

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scientific article; zbMATH DE number 766470
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English
Formulas for approximate solutions of the \(\partial\overline{\partial}\)- equation in a strictly pseudoconvex domain
scientific article; zbMATH DE number 766470

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    Formulas for approximate solutions of the \(\partial\overline{\partial}\)- equation in a strictly pseudoconvex domain (English)
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    1995
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    The authors construct a sort of parametrix for the equation \(i\partial \overline {\partial} u=\theta\) on a strongly pseudoconvex domain. Nice applications are given to classical situations, such as when \(\theta\) is a Carlson measure.
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    Cauchy-Riemann complex
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    parametrix
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    Carlson measure
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