They did allow this last year (if you hired your ski's, betts etc). However, I have since heard that they have stopped allowing this because of the massive congestion at the beginning and end of each days skiing. Apparently, for a couple lev's per day you can still keep them at the bottom gondola station - or, at least I am hoping so as it will mean carrying my shoes in my rucsac whilst skiing.
there is a locker room and it costs 15 lev for the week. Not really worth carrying anything with you. wwe managed to leave 3 pairs of boots and hats and stuff there. Just remember to give the guy a tip at the end of the week