Because of the increasing number of questions about running created mobile website on your own domain, I will try to summary this topic.
Yes, its possible to run created mobile website on your own domain. You need to have premium version of any level for that.
You own the domain mybusiness.com and want to run mobile website on m.mybusiness.com
1. login to your DNS configuration system (usually the place where you bought the domain)
2. set an CNAME record for your domain m.mybusiness.com pointing to server: mpartners.wirenode.com
3. login to your Wirenode account, click on web settings and custom domain and add there your m.mybusiness.com domain
If you own the domain mybusiness.mobi (or want to run the website on 2nd level domain), in step 2, just set it as an A record pointing to IP address 126.96.36.199 (instead of CNAME)
If you want tu run more websites under one domain with us, you can configure your CNAME as *.mybusiness.com pointing to our server and all subdomains will work.
In any case, if you have any question, please let me know.