Gpz 900R splutter

Hi Guys, got a slight problem with my old 1984 Gpz 900r.
When she's warmed up and from standstil pulling away she hesitates from low revs but if i gun it ,she revs no worries. This only happens at low revs ( 1200-2500rpm) in nearly all the gears. Idle is ok, it's just when you go to pull away you think you are out of petrol when your'e not.
HELP.
Paul
When she's warmed up and from standstil pulling away she hesitates from low revs but if i gun it ,she revs no worries. This only happens at low revs ( 1200-2500rpm) in nearly all the gears. Idle is ok, it's just when you go to pull away you think you are out of petrol when your'e not.
HELP.
Paul