Rigid characterizations of pseudoconvex domains
Copyright policy )Rigid characterizations of pseudoconvex domains
We prove that an open set $D$ in $\C^n$ is pseudoconvex if and only if for any $z\in D$ the largest balanced domain centered at $z$ and contained in $D$ is pseudoconvex, and consider analogues of that characterization in the linearly convex case.
v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are changed
C-convexity, 32F17, Mathematics - Complex Variables, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], pseudo-convexity, Complex Variables (math.CV), 510
C-convexity, 32F17, Mathematics - Complex Variables, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], FOS: Mathematics, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], pseudo-convexity, Complex Variables (math.CV), 510
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