Abstract
In this paper, the authors characterize those φ, holomorphic self-maps of B, for which the composition operator is bounded (or compact) on F(p,q,s) in some cases. Moreover, the following results are given.
If 1<p<q + n + 1 and
satisfies some boundedness conditions, then
is compact on F(p,q,s) if and only if
If
and
, then
is a compact operator on F(p,q,s) if and only if
and
for all
.
Disclosure statement
No potential conflict of interest was reported by the author(s).