to be under obligation to pay (money) to somebody
to be under obligation to give or show (an explanation, respect, etc) (something) to somebody
I owe you an explanation
to be indebted to (somebody)
She still owes me for the tickets
(usu + to) to have or enjoy (something) as a result of the action or existence of something or somebody else
He owes his success to luck
to be in debt
[Old English āgan]