Look at the idle and power rating for the amps. A 15A outlet is rated for about 1800 VA I believe, so long as the amp plus your accessories stay above this you stay well below that you’ll be fine.
You might want to swap to a better outlet though, especially if this is an old house. See more here:
You may also want to consider a conditioner with voltage regulation to ensure the voltage doesn't sag:
Of course, you can also have a dedicated circuit with 12 gauge wiring and convert the line to 20 Amps. The beefier wiring, above all, will improve power delivery under stress. If your circuit is going to be over 1,000 VA most of the time I'd suggest it.