Year: 2016
Type: preprint
Abstract: This work is a complement of the study on Hörmander's solution of the $\bar\partial$ equation initialised by H. Hedenmalm. Let $φ$ be a strictly plurisubharmonic function of class C 2 in C n, let $c_φ(z)$ be the smallest eigenvalue of $i\partial\bar\partialφ$ then $\forall z\in\mathbb{C}^n$, $c_φ(z)>0$. We denote by $L^2_{p,q}(\mathbb{C}^n, e^φ)$ the $(p, q)$ currents with coefficients in $L^2_{p,q}(\mathbb{C}^n, e^φ)$. We prove that if $ω\in L^2_{p,q}(\mathbb{C}^n,e^φ)$, $\bar\partial$$ω$ = 0 for q
Source: arXiv (Cornell University)
Author: Amar, Eric
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2338728885