With a Plus or higher plan, you can register a custom domain name and use it for all blogs in your account or an individual blog with the Domain Registration and Mapping features. The mapped domain will be used for the permalinks on your blog, instead of the typepad.com address, and search engines will index your blog pages using your custom domain.
If you have a domain registered through a third-party registrar, you can map the domain or subdomain to your Typepad blogs as long as the registrar allows you to edit the CNAME Record.
For information on using a custom domain for your blog, see the articles below: