Weighted holomorphic Besov spaces on the polydisk

摘要

This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let U~n be the unit polydisk in C~nand S be the space of functions of regular variation. Let 1 ≤ p ≤ ∞, ω = (ω_1, ... ω_n),∈ S(1 ≤ j ≤ n) and f ∈ H (U~n). The function f is said to be an element of the holomorphic Besov space B_p(ω) .