Hello Gabriele,
Your English isn't bad at all! At this time, a Domain Administrator does not have the ability to review any of the SmarterMail logs; however, I can definitely see the benefit in allowing them to review the logs pertaining to their own domain -- if the System Administrator allowed it.
Because the SmarterMail 16.x BETA category will be closed down after the SmarterMail 16.0 release, I'm going to move this thread to the standard SmarterMail category so this request will not be lost. Other users can vote up the thread in agreement with this request and add their feedback on how they'd like to see this implemented.
Thanks!