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- W1548291815 abstract "Let $X$ be an analytic space of pure dimension. We introduce a formalism to generate intrinsic weighted Koppelman formulas on $X$ that provide solutions to the $dbar$-equation. We prove that if $phi$ is a smooth $(0,q+1)$-form on a Stein space $X$ with $dbarphi=0$, then there is a smooth $(0,q)$-form $psi$ on $X_{reg}$ with at most polynomial growth at $X_{sing}$ such that $dbarpsi=phi$. The integral formulas also give other new existence results for the $dbar$-equation and Hartogs theorems, as well as new proofs of various known results." @default.
- W1548291815 created "2016-06-24" @default.
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- W1548291815 date "2008-01-04" @default.
- W1548291815 modified "2023-09-27" @default.
- W1548291815 title "Koppelman formulas and the $dbar$-equation on an analytic space" @default.
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