Definitions of hosting service on the Web:

• An Internet hosting service is a service that runs Internet servers, allowing organizations and individuals to serve content to the Internet. ...
  en.wikipedia.org/wiki/Hosting_service
• A commercial, free or advertising-supported service that allows a third party to store information on an Internet host (eg web server). ...
  www.parliament.vic.gov.au/SARC/E-Democracy/Final_Report/Glossary.htm
• All Template web designs provided through www.cheap-websites.co.nz must be hosted by Web Strategic Initiatives Ltd for the initial 12 month term.. Hosting service is provided in secure environment with weekly back ups.
  www.cheap-websites.co.nz/1.html
• where many websites reside on one web server connected to the Internet. Each site 'sits' on its own partition, or section on the server to ...
  vladora.blogspot.com/2009/02/vocabulary-two.html