Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates (Q1190844)
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scientific article; zbMATH DE number 58553
| Language | Label | Description | Also known as |
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| English | Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates |
scientific article; zbMATH DE number 58553 |
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Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates (English)
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27 September 1992
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The authors prove real analytic hypoellipticity for the \(\overline{\partial}\)-Neumann problem on domains of the form \(\{x\in \mathbb{C}^ n\): \(\text{Im } w>| z'|^ 2+ h(| z''|^ 2)\}\). Here \(z'\), \(z''\) may be taken to be tuples of complex coordinates. Related results are proved for \(\square_ b\).
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Cauchy-Riemann equations
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real analytic hypoellipticity
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\(\overline{\partial}\)-Neumann problem
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