Travelling, Held Ball, or nothing.
 

A1 ends his dribble and jumps to try and score. On his way up B1 knocks the ball loose. A1 regains possession while still airborne and comes down with the ball.

Any violation here? If not, can he dribble again?

I know this has been discussed on here before but finding it may not be as easy as reposting the question. I think that there is no violation here and the player can even dribble again.

I'll hang up and listen.

Nothing. Here's the case book ruling. Situation A is the closest to your description:

4.44.3 SITUATION A:

A1 jumps to try for goal. B1 also jumps and: (a) slaps the ball out of A1's hands; (b) touches the ball but does not prevent A1 from releasing the ball; (c) touches the ball and A1 returns to the floor holding the ball; or (d) touches the ball and A1 drops it to the floor and touches it first after it bounces.

RULING: In (a) and (b), the ball remains live. In (c), a traveling violation. In (d), a violation for starting a dribble with the pivot foot off the floor. Since the touching did not prevent the pass or try in (b), (c) and (d), the ball remains live and *subsequent action is covered by rules which apply to the situation.

If this play had happened during a dribble, would you have any doubt about the answer? Does being in the air make any difference?

From The Files Of The Mythbusters ...
 

http://farm7.staticflickr.com/6230/6...473e048e_m.jpg

The shooter can retrieve his or her own airball, if the referee considers it to be a shot attempt. The release ends team control. It is not a violation for that player to start another dribble at that point. When an airborne player keeps control of an attempted shot that is blocked and is unable to release the ball and returns to the floor with it, that player has not traveled; it is a held ball. If, in this situation, the shooter loses control of the ball because of the block, then this is simply a blocked shot and play continues. If, in this situation, the defender simply touches the ball, and the airborne shooter returns to the floor holding the ball, it’s a traveling violation. When an airborne player tries for goal, sees that the try will be blocked, purposely drops the ball, and picks up the ball after it hits the floor, that player has traveled by starting a dribble with the pivot foot off the floor.

No violation of any kind. Yes, A1 can dribble again.

I have nothing because of the description. He lost control of the ball, so when he got control again is what matters. It would be like he gained possession of a ball airborne in any other matter like a rebound.

Sorry I was late on this. ;)

Peace

So in the case when a player goes up for a shot and has the ball touched by a defender, momentarily bobbles the ball and comes down with it, without getting off a shot, this is NOT a travel? Correct?

Assuming the defender knocked the ball loose, you're correct.

If, however, the defender barely nicks the ball and the shooter purposefully lets it go to avoid a travel; no go.

A little late to the party... but...
 

Better yet...

9.5.1 Situation:
A1 ends a dribble and then jumps and releases the ball on a try for goal. B1 partially blocks the shot, but A1 secures control again while still in the air. A1 returns to the floor and dribbles to the basket and scores.

Ruling: Legal maneuver. Both player control and team control ended when A1 released the ball. When A1 recovered he/she could dribble again similar to dribbling after catching a pass or rebound.

What's the difference above and 4.44.3 A (b and c)? Come to think of it, what's the difference in b and c?

In b, the shot is released. In c, the touch is not what stopped the shooter from releasing the try.

The difference is whether or not B1 causes A1 to lose control of the ball. Once control is lost, A1 basically starts a new possession.

In part (b), B touches the ball, but A is still able to release it on a try or a pass. ==> Play on.

In part (c), B touches the ball, but A does not ("chooses not to") release the ball and returns to the floor. ==> Travelling.

OK, and the difference between (a) and (c) is the ball is loose or dislodged in (a) making it legal to return to the floor with it, but it never leaves player's hands in (c)? A tough call sometimes if you can't get a good look at it.

correct

That applies to just about every play in the game.