In basketball, an illegal dribble (colloquially called a double dribble or dribbling violation) occurs when a player ends their dribble by catching or causing the ball to come to rest in one or both hands and then dribbles it again with one hand or when a player touches it before the ball hits the ground. The dribble also ends when the dribbler palms/carries the ball by allowing it to come to rest in one or both hands. This is a palming/carrying the ball violation if the player continues with another dribble.
Please see the video below for example:
Please see the video below for example: