Intrinsic interpolation, near-circularity and maximal convergence

Let E be compact and connected with capE>0 and connected complement Ω=ℂ¯∖E, let gΩ(z,∞) be the Green’s function of Ω with pole at infinity and let Eσ≔{z∈Ω:gΩ(z,∞)<logσ}∪E,1<σ<∞, be the Green domains with boundaries Γσ. Let f be holomorphic on E and let ρ(f) denote the maximal parameter o...

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