Will it lift a full bucket or just raise and lower an empty bucket?
First thought is that once the system gets warm you have leak path greater than pump flow reducing the pressure you can build. If you have the equipment or can get the equipment install a pressure gauge in the pressure line to your FEL. When system is cold run a function until it dead heads and see what the pressure is. Now warm the system up and at a similar RPM operate the same function until it dead heads and compare the two pressures. If very little difference with that function try raising the front of the tractor off the ground and see what the pressure reads. If it won't build pressure now or it builds less pressure I would suspect bad seals on your lift cylinders.
If there is a significant difference in pressure from step 1 you will have go farther into diagnostics. Next test will be to time the bucket raise with load from ground level to full height at a given engine RPM cold and hot. If these times are significantly different that would be an indication that you are loosing flow from the pump and it could be a relief valve stuck partially open or your pump starting to die. To do further diagnostics would require a flow meter, relief valve, etc. to isolate components one at a time to find the failing item.
What model and vintage of tractor is this?