Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in Cn
Boundary Schwarz lemma and rigidity property for holomorphic mappings of the unit polydisc in Cn
In this paper, we generalize the classical Schwarz lemma at the boundary from the unit disk D in the complex plane to the unit polydisc Dn in higher-dimensional complex space. Two boundary Schwarz lemmas for holomorphic mappings of Dn and corresponding rigidity properties are established without the restriction of the …