"Gradients of inner functions in strictly pseudoconvex domains"

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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). Click to show full 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).

Keywords: gradients inner; pseudoconvex domains; functions strictly; inner functions; strictly pseudoconvex

Journal Title: Israel Journal of Mathematics
Year Published: 2018

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