BIRINCHI TIP MATRITSAVIY SHAR AVTOMORFIZMLARINING XOSSALARI VA ULARNING BA’ZI TATBIQLARI

In this article, an analogue of Theorem 2.2.5 from Rudin’s book [2] is obtained for the
first-type matrix ball in the domain Cn [m;m]. Some applications of the properties of
the automorphisms of the first-type matrix ball are presented. In particular, certain
properties of the automorphisms of domains that are biholomorphically equivalent
to the first-type matrix ball are proven.