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Non‐compactness of the solution operator to $ \bar \partial $ on the Fock‐space in several dimensions |
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| Authors: | Georg Schneider |
| Abstract: | We consider the canonical solution operator to restricted to (0, 1)‐forms with coefficients in the generalized Fock‐spaces (1) We will show that the canonical solution operator restricted to (0, 1)‐forms with ‐coefficients can be interpreted as a Hankel‐operator. Furthermore we will show that the canonical solution operator is not compact for m ≥ 2. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | $ \bar \partial $‐Neumann problem Fock‐space Hankel‐operator |