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On canonical homotopy operators for ∂ in Fock type spaces in C.

Jörgen Boo — 2001

Publicacions Matemàtiques

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

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