(verb) To be under an obligation to give something back to someone or to perform some action for someone.
"I don't know who invented high heels, but all women owe him a lot!"
"To the living we owe respect, but to the dead we owe only the truth."
"Don’t go around saying the world owes you a living. The world owes you nothing. It was here first."
"You don't owe them an explanation."
"Don't neglect yourself taking care of someone else. You don't owe anyone your time, a quick text back, or emotional support when you need to be giving it to yourself first."
"To encourage literature and the arts is a duty which every good citizen owes to his country."
"Worrying is like paying a debt you don't owe."
"My mother was the most beautiful woman I ever saw. All I am I owe to my mother."