Diederich-Fornaess index and Steinness index.

- Speaker: Mr. Jihun Yum (POSTECH)

- Abstract: 

Let D be a bounded pseudoconvex domain in ℂ^n with smooth boundary. Diederich-Fornaess index DF(D) is η1 iff for all η ∈ (0, η1), there exists a defining function ρ such that -(-ρ)^η is strictly plurisubharmonic on D. Steinness index S(D) is η2 iff for all η > η2, there exist a defining function ρ and a neighborhood U of ∂D such that ρ^η is strictly plurisubharmonic on (closure{D})^c ∩ U.

We will see the relation between Diederich-Fornaess index and Steinness index on smooth Worm domains.

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