http://www.eia.doe.gov/emeu/ipsr/t14.xls
In 2006 those majors produced the following:
ExxonMobil = 2.68 MMBPD
BP = 2.48 MMBPD
Shell = 1.95 MMBPD
http://exxonmobil.com/Corporate/Files/Corporate/fo_2006.pdf
http://www.shell.com/static/investor-en/downloads/publications/2007/2006_annual_review.pdf
A total of 7.11 MMBPD or 8% of the global market. These numbers includes all of the subsidiaries and their percentage share of partnership ventures.
I’m not sure which others you think combined with these three "own" the market. But it is going to be a rather long list to get to the controlling share.
I found his picture.