Geodesic
Boundary interpolation in the weak Lipschitz classes
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 36, Tome 355 (2008), pp. 72-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the Lipschitz spaces with the weak modules of continuity $\omega_\alpha(t)=\exp(-\log^\alpha\frac1t)$, $0<\alpha<1$, conditions sufficient for interpolation are found that are very close to being necessary. Bibl. – 7 titles. 
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A. V. Vasin. Boundary interpolation in the weak Lipschitz classes. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 36, Tome 355 (2008), pp. 72-80. http://geodesic.mathdoc.fr/item/ZNSL_2008_355_a2/

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[7] Ch. Pommerenke, Boundary behavior of conformal maps, Springer-Verlag, Berlin–Heidelberg, 1992 | MR | Zbl