4 papers
math.CV2026
Diederich-Fornæss index and global regularity of the complex Green operator: domains with comparable Levi eigenvalues
Tanuj Gupta, Emil J. Straube
Let , with , be a smooth bounded pseudoconvex domain satisfying the symmetric eigenvalue comparability condition for some $1\le q_0\le…
math.CV2025
Regularity in the --Neumann problem, D'Angelo forms, and Diederich--Fornæss index
Emil J. Straube
This article chronicles a development that started around 1990 with \cite{BoasStraube91}, where the authors showed that if a smooth bounded pseudoconvex domain in $\mathbb{C}^…
math.CV2025
Diederich--Fornæss index and global regularity in the --Neumann problem: domains with comparable Levi eigenvalues
Bingyuan Liu, Emil J. Straube
Let be a smooth bounded pseudoconvex domain in . Let . We show that if --sums of eigenvalues of the Levi form are comparable, the…
math.CV2024
Sobolev regularity of the Bergman and Szegö projections in terms of and
Emil J. Straube
Let be a smooth bounded pseudoconvex domain in . It is shown that for , , the embedding $j_{q}: dom(\overline{\partial})\cap dom(\overl…