Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operator

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68544For smooth bounded pseudoconvex domains in $mathbb{C}^{2}$, we provide geometric conditions on (the points of infinite type in) the boundary which imply compactness of the $\bar{\partial}$-Neumann operator. It is noteworthy that the proof of compactness does \emph{not} proceed via verifying the known potential theoretic sufficient conditions.10 pagesComplex VariablesAnalysis of PDEs32W05Geometric conditions which imply compactness of the $\bar{\partial}$-Neumann operatortext