used to say politely that someone can go ahead of you or do something before you

"Can I pour you some coffee?" "Oh no, after you." “我给你倒点咖啡吧？”“噢，不用，你先来吧。”

Let's go to our table now. Please, after you.

"Do you want to sign the card?" "Yes, please, but after you."

"Did you want to say something?" "No, no, after you."

After you, Elizabeth. I can see you're in a hurry.

See also: after preposition (FOLLOWING IN TIME OR PLACE)