hi all,
I think I got my answer,
in fact we have no problem with radar coverage, but the problem is "RESPONSIBILITY".
I don't want to ID all aircraft at a rush hour, because I want to focus on the crowded part of my sector and I want to pay less attention to the other part on which the a/c are folowing their transit route at different FLs.
Unfortunately it is not written in our RADAR PROCEDURE wheather we are permited to provide PROCEDURAL SERVICE in one part of a fully-under-radar-coverage sector or not, but I think we can because in the top sentence (written in red and blue) the verb is "may be" not "shall be".
by the way we DON'T have PSR!