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Exact regularity conjecture for the \overline{\partial}-Neumann operator at Diederich–Fornæss index one
Let $\Omega\subset\mathbb{C}^n$ be a smooth bounded pseudoconvex domain, let $N_q$ denote its $\overline{\partial}$ -Neumann operator, and let the Diederich–Fornæss index of…
Conjectureopenbar-neumann-problem complex-analysis sobolev-regularityarXiv posted 2 days ago

Exact regularity conjecture for the \overline{\partial}-Neumann operator at Diederich–Fornæss index one