engine problem

When the car is cold runs fine. As soon as it warms up it studders when I accelerate in low rpms , once over 3 grand it runs normal unless I push the pedal to the floor fast it studders again

right off hand the first thing I think of is a fuel issue? but im not sure, sounds strange

Check the spark plugs, wires or distributer rotor? Have you done any “easy” inspections?