Appear to be the initials of someone that was presented this as a gift.

I haven't had time to look at this site but maybe worth a try - http://www.20thcenturyglass.com/glass_encyclopedia/scandinavian_glass/holmegaard_glass/holmegaardgla...

The glasses remind me of Holmegaards snaps glass, but once again too ornate.

I think it is coincidental the design has a similar style to Holmegaard.