Nonexistence of a Continuous Right Inverse for Surjective Linear Partial Differential Operators on the Spaces (Gamma Sup Delta)(Omega)

摘要

The author proves a nonimbeddability result for the Fourier transform operator on the spaces ((gamma sub C)sup delta) (O, b), and uses it to show the nonexistence of a continuous right inverse for certain surjective linear partial differential operators P(D) on the spaces (gamma sup delta) (Omega), where Omega is a P(D)-convex open set. (Author)