关键词: Weighted Orlicz spaces, Bers-Orlicz spaces, Fuchsian group, Taylor coefficients, decomposition, operator interpolation

Abstract: In this paper some decomposition theorems for classical weighted Orlicz spaces and Bers-Orlicz spaces are established. As applications of these decomposition theorems some estimates about the growth of the Taylor coefficients of the functions in airs-Orlicz spaces are given.

Key words: Weighted Orlicz spaces, Bers-Orlicz spaces, Fuchsian group, Taylor coefficients, decomposition, operator interpolation