expression
thank you for waiting; sorry to have kept you waiting
Polite phrase used when someone has been waiting for you. Can express gratitude, apology, or both depending on context.
お待たせしました。どうぞお入りください。
Thank you for waiting. Please come in.
遅くなってすみません、お待たせしました。
Sorry I'm late; I'm sorry to have kept you waiting.