Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran
10.22091/maa.2026.15435.1054
Abstract
This paper discusses lower growth and two-point distortion bounds for linearly invariant families (L.I.F.s) of locally biholomorphic mappings within the unit ball $B^{n}$ in $\mathbb{C}^{n}$. We also present lower growth bounds and two-point distortion bounds for affine and linearly invariant families (A.L.I.F.s) of pluriharmonic mappings from the unit ball $B^{n}$ to $\mathbb{C}^{n}$. These results build upon recent findings by Pfaltzgraff and Suffridge, Graham, Kohr and Pfaltzgraff, Duren, Hamada and Kohr with an additional condition of quasiregularity on the mappings.
Farrokhi, H., Ebadian, A., & Abolfathi, M. A. (2026). Growth and two-point distortion properties for linearly invariant families of locally biholomorphic mappings. Measure Algebras and Applications, (), -. doi: 10.22091/maa.2026.15435.1054
MLA
Helaleh Farrokhi; Ali Ebadian; Mohammad Ali Abolfathi. "Growth and two-point distortion properties for linearly invariant families of locally biholomorphic mappings". Measure Algebras and Applications, , , 2026, -. doi: 10.22091/maa.2026.15435.1054
HARVARD
Farrokhi, H., Ebadian, A., Abolfathi, M. A. (2026). 'Growth and two-point distortion properties for linearly invariant families of locally biholomorphic mappings', Measure Algebras and Applications, (), pp. -. doi: 10.22091/maa.2026.15435.1054
VANCOUVER
Farrokhi, H., Ebadian, A., Abolfathi, M. A. Growth and two-point distortion properties for linearly invariant families of locally biholomorphic mappings. Measure Algebras and Applications, 2026; (): -. doi: 10.22091/maa.2026.15435.1054
)