  Exotic mesons with hidden strange ($s\bar s$) and heavy quark pairs ($Q\bar
Q$), where $Q=c,b$, are considered as diquark-antidiquark systems, $(Qs)(\bar
Q\bar s)$. Taking into account that these states can recombinate into two-meson
ones, we study the interplay of these states in terms of the dispersion
relation D-function technique. The classification of exotic mesons is
discussed, coefficients for decay modes are given, predictions for new states
are presented. The nonet structure for $((Qq)(\bar Q \bar q)$, ($(Qs)(\bar
Q\bar s$)), ($(Qq)(\bar Q\bar s))$- states ($q=u,d$) is suggested.
