Is it possible to access a hosted Microsoft Outlook Web Access through my own domain?

I would like to know if it is possible to "map" a subdomain (for example: exchagne.mydomain.com) through DNS to my shared Microsoft Exchange domain (ex.: exchange.theirdomain.com) so that it provides the seamless image of being an in-house server?





And of course, if it is possible, I would like to know how.
Is it possible to access a hosted Microsoft Outlook Web Access through my own domain?
It depends allot who your Registrar is.The domain i have through Register.com and has a option called advanced URL forwarding that lets me type in the domain or sub-domain names and then point it to any URL seamlessly so everything looks in-house