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

• Autores: Jörgen Boo
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 45, Nº 1, 2001, págs. 223-233
• Idioma: inglés
• Títulos paralelos:
  • Operadores de homotopía canónicos para ? en espacios tipo Fock en Cn
• Enlaces
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• Resumen

  • 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 $i\partial\bar\partial$.