2 citations · 3 across the 4 of their papers we have counts for
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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, then…
The intrinsic geometry on bounded pseudoconvex domains
Bingyuan Liu
The Diederich--Fornæss index has been introduced since 1977 to classify bounded pseudoconvex domains. In this article, we derive several intrinsic, geometric conditions on boundary…
Two applications of the Schwarz lemma
Bingyuan Liu
The Schwarz lemmas are well-known characterizations for holomorphic maps and we exhibit two examples of their applications. For a sequence family of biholomorphisms , it is us…
Analysis of orbit accumulation points and the Greene-Krantz conjecture
Bingyuan Liu
In , we classify the domains for which is noncompact and describe these domains by their defining functions. This note is based on the technique of the s…