Congratulations, your electrical system is working as it should.

Do any of you folks have any suggestions as to how I can
cure this problem?

Obviously, the compressor motor has a current surge problem on starting. You
have several options: 1) Run it from a dedicated 30 amp circuit, new breaker,
10 ga wire, etc. 2) If it is a capacitor equipped motor, have a qualified shop
check and/or replace the capacitor(s). 3) Replace the motor with one more
suitable for the machine. 4) Rewire the system to run on 220 volts after
ensuring that everything is OK otherwise. 5) Install a smaller motor pulley.
That will reduce the starting current modestly, at the expense of slower output
(no free lunch, ya know).
One or more of the above ought to work. Good luck.

Joe