restricted area
或
restricted area near the basket（這個好像比較明確in中文）

http://www.nba.com/analysis/rules_c.html
An offensive foul should never be called if the contact is with a secondary defensive player who has established a defensive position within a designated "restricted area" near the basket for the purpose of drawing an offensive foul.

The "restricted area" for this purpose is the area bounded by an arc with a 4-foot radius measured from the middle of the basket.

EXCEPTION: Any player may be legally positioned within the "restricted area" if the offensive player receives the ball within the Lower Defensive Box.


http://www.nba.com/blazers/features...s-88956-41.html
Restricted Area: Any player may be in the “restricted area” if the offensive player receives the ball in the lower defensive box. If contact between players takes place on this type of play it does not necessarily mean a foul has been committed. The official must judge whether the contact is negligible and/or incidental, judging each situation separately.