A version of the Schwarz lemma for correspondences is studied. Two applications are obtained namely, the 'non-increasing' property of the Kobayashi metric under correspondences and a weak version of the Wong-Rosay theorem for convex, finite type domains admitting a 'non-compact' family of proper correspondences.
@article{urn:eudml:doc:41476,
title = {A Schwarz lemma for correspondences and applications.},
journal = {Publicacions Matem\`atiques},
volume = {47},
year = {2003},
pages = {373-387},
zbl = {1062.32006},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41476}
}
Verma, Kaushal. A Schwarz lemma for correspondences and applications.. Publicacions Matemàtiques, Tome 47 (2003) pp. 373-387. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41476/