blocked field goal
 

High School rules.
Team A has 4th down near the goal line.
Attempts a field goal, which is blocked and the ball ends up recovered by team A behind the line of scrimmage.
Whose possession, team A or team B?

I will assume the Team A player was downed where he recovered the ball. The ball belongs to Team A. However, Team A failed to reach the line to gain. Therefore, Team B will be awarded a new series at the spot of recovery, so they will be the next to snap.

If Team A had not been downed, then recovery behind the line of scrimmage remains a live ball that can be advanced. The continuity of downs is not broken, however, since Team B's touching is ignored since it occurred in or behind the expanded neutral zone.

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Play continues the same as if the ball had not been kicked, in all respects but one: loose ball play enforcement of penalties for fouls that occurred before or while the ball was loose.