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In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
Chiara Frosini, and Fabio Vlacci. "A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ." Annales Polonici Mathematici 91.2-3 (2007): 197-217. <http://eudml.org/doc/280841>.
@article{ChiaraFrosini2007, abstract = {In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.}, author = {Chiara Frosini, Fabio Vlacci}, journal = {Annales Polonici Mathematici}, keywords = {holomorphic map; boundary behavior; Schwarz lemma}, language = {eng}, number = {2-3}, pages = {197-217}, title = {A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ}, url = {http://eudml.org/doc/280841}, volume = {91}, year = {2007}, }
TY - JOUR AU - Chiara Frosini AU - Fabio Vlacci TI - A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ JO - Annales Polonici Mathematici PY - 2007 VL - 91 IS - 2-3 SP - 197 EP - 217 AB - In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ. LA - eng KW - holomorphic map; boundary behavior; Schwarz lemma UR - http://eudml.org/doc/280841 ER -