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Resumen de On canonical homotopy operators for ? in Fock type spaces in Cn

Jörgen Boo

  • We show that a certain solution operator for $\bar\partial$ in a space of forms square integrable against $e^{-\left|z\right|^2}$ is canonical, i.e., that it gives the minimal solution when applied to a $\bar\partial$-closed form, and gives zero when applied to a form orthogonal to $\Ker\bar\partial$. As an application, we construct a canonical homotopy operator for $i\partial\bar\partial$.


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