I ran across the following error message, while attempting a remote logon session with the free LogMeIn service, www.logmein.com.

The operator or administrator refused the request. (4320)

After a few google searches, I found out how to correct the problem.  If the remote windows user account doesn't have local admin rights, you will need to add the windows user account to the logmein service under Preferences-> Security Settings -> Access Control.