Traveling? Double Dribble? No call?

[Buckley11]

Player A1 penetrates the lane and goes up for layup. As he attempts the layup, B1 makes a play to contest the shot and A1, in mid-air, passes the ball to the perimeter . There is no player to receive or intercept the pass (no other player touched the ball)and A1 retrieves the ball and (a)holds the ball without moving either foot, (b) passes the ball to a team mate, (c) shoots the ball, or (d) dribbles the ball. Is there a violation in any or all of these situations.

Please answer with rule book citation as our association members came up with multiple answers ranging from "travel" to "double dribble" to "nothing" and all had rule book rationale for their decisions.

Thanks in advance for input.