Geodesic
On continuous extension and rigidity of holomorphic mappings between domains with piecewise smooth boundaries
Sbornik. Mathematics, Tome 82 (1995) no. 2, pp. 471-483

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A theorem is proved concerning the boundary continuity of holomorphic mappings between domains with piecewise smooth strictly pseudoconvex boundaries in $\mathbb{C}^n$. This theorem is used to establish results on nonexistence of proper holomorphic mappings between certain classes of domains. 
@article{SM_1995_82_2_a13,
     author = {A. B. Sukhov},
     title = {On continuous extension and rigidity of holomorphic mappings between domains with piecewise smooth boundaries},
     journal = {Sbornik. Mathematics},
     pages = {471--483},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1995_82_2_a13/}
}
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A. B. Sukhov. On continuous extension and rigidity of holomorphic mappings between domains with piecewise smooth boundaries. Sbornik. Mathematics, Tome 82 (1995) no. 2, pp. 471-483. http://geodesic.mathdoc.fr/item/SM_1995_82_2_a13/