On Hörmander's solution of the dbar-equation

Published 8 Nov 2013 in math.AP, math.CV, and math.FA | (1311.2020v3)

Abstract: We explain how H\"ormander's classical solution of the dbar-equation in the plane with a weight which permits growth near infinity carries over to the rather opposite situation when we ask for decay near infinity. Here, however, a natural condition on the datum needs to be imposed. The condition is not only natural but also necessary to have the result at least in the Fock weight case.

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Authors (1)

Haakan Hedenmalm

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