Abstract
ABSTRACT In this paper, we prove the existence of (global) solutions of the Poincaré-Lelong equation , where f is a d-closed form and is in the weighted Hilbert space with Gaussian measure, i.e. . The novelty of this paper is to apply a weighted version of the Poincaré Lemma for 2-forms and then apply Hörmander's solutions for Cauchy–Riemann equations. In both cases, the same weight is used.
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