Domain names are not truly owned -- they're leased out on a first-come, first-served basis, and remain with the initial lessee until either
a) the lessee does not renew the name, or
b) a business with a trademark of the same name demonstrates a greater claim to the name than the lessee can demonstrate.
The question is better phrased as 'who can control the domain name'. With MazuHost, the answer is the domain's Administrative Contact. This is usually specified by the registrant during the registration process.
