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arXiv · 1311.2020

On H\"ormander's solution of the dbar-equation

Haakan Hedenmalm
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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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Haakan Hedenmalm. 2013-11-08. On H\"ormander's solution of the dbar-equation. https://arxiv.org/abs/1311.2020

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