Complex Convexity and Analytic Functionals.

By R. Malley, Steven G. Krantz. 2005

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Approximation in C N (2006, unknown): “= 0 for ζ ∈ ∂D and z ∈ D. Such a domain is called lineally convex; convex domains are special examples. In the smoothly bounded category, lineally convex domains are the same as C−convex domains (cf. [APS], Chapter 2). The functions wj(ζ) = ∂ρ ∂ζj (ζ) Norm Levenberg 124 satisfy (28) and we obtain th”
Cauchy-type integrals in several complex variables (2013, background): “This condition is related to certain separation properties of the domain from its complement by (real or complex) hyperplanes, see [1], [20, IV.”