Geodesic
Existence of $K$-limits of holomorphic maps
Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 509-514

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Let $D$ be a complete hyperbolic domain in $\mathbb C^n$, $n>1$, and $N$ a compact Hermitian manifold. We prove a criterion for the existence of the $K$-limit of an arbitrary holomorphic map $f\colon D\to N$ at an arbitrary boundary point $D$ under the condition that $f$ has the corresponding radial limit at this point. 
@article{MZM_2005_77_4_a2,
     author = {P. V. Dovbush},
     title = {Existence of $K$-limits of holomorphic maps},
     journal = {Matemati\v{c}eskie zametki},
     pages = {509--514},
     publisher = {mathdoc},
     volume = {77},
     number = {4},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a2/}
}
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P. V. Dovbush. Existence of $K$-limits of holomorphic maps. Matematičeskie zametki, Tome 77 (2005) no. 4, pp. 509-514. http://geodesic.mathdoc.fr/item/MZM_2005_77_4_a2/