どうぞドアをしめてください。

please; kindly; I beg of you; by all means; feel free; you are welcome; here you are

door (Western-style)

indicates direct object of action; indicates subject of causative expression; indicates an area traversed; indicates time (period) over which action takes place; indicates point of departure or separation of action; indicates object of desire, like, hate, etc.

to make; to let

to give; to confer; to bestow; to kindly do for one; to oblige; to favour; to favor