Gradients of inner functions in strictly pseudoconvex domains
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DOI: 10.1007/s11856-018-1777-y
Abstract: Assume that Ω is a bounded strictly pseudoconvex domain with C2 boundary. We prove the existence of a nonconstant inner function on Ω with gradient in L1(Ω). read more here.
Keywords: gradients inner; pseudoconvex domains; functions strictly; inner functions ... See more keywords
The umbilical locus on the boundary of strictly pseudoconvex domains in ℂ2
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DOI: 10.1142/s0129167x17400018
Abstract: The main objective of this paper is to survey some recent results on the Chern–Moser question concerning existence of umbilical points on three-dimensional CR submanifolds in ℂ2. read more here.
Keywords: umbilical locus; locus boundary; pseudoconvex domains; strictly pseudoconvex ... See more keywords