Hollosy, 35, and Brown, 24, were each charged with assault in the Oct. 27 fight between the two and a fan near the W Hotel downtown.
Brown's trial was supposed to begin Friday, but was delayed until Monday.
Should the two men be found guilty, each faces a maximum of six months in jail and a $1,000 fine. Brown, who is on probation for the 2009 assault of then-girlfriend Rihanna, faces an extra four years in jail for violating his probation.
Celebrity Couples of 2014 [PHOTOS]