Verbal strategy that requests action of someone without using a direct command

Is there a word to define the verbal strategy that requests action of someone without using a direct command—e.g., Could you please open the door?


Solution 1:

Steven Pinker calls it off-record indirect speech acts...

off-the-record
the given or made in confidence and not for publication comments (in contrast to on the record)

Indirect speech
the phenomenon in which a speaker says something he doesn’t literally mean, knowing that the hearer will interpret it as he intended.

Note that Pinker's definition of indirect speech as quoted there isn't the same as the more well-known reported speech one. But if you Google "indirect speech act" it's obvious in that particular collocation Pinker's meaning is invariably what's meant.

Solution 2:

The term cajole is defined as

to try to persuade someone to do something by saying things that please the person or make the person feel important

It is also defined as

to obtain from someone by gentle persuasion

Solution 3:

Although the AHDEL doesn't license the word request in this usage

re·quest (r-kwst) tr.v. re·quest·ed, re·quest·ing, re·quests

  1. To express a desire for; ask for.

... is as near as it gets ...

...Collins does:

request [rɪˈkwɛst] vb (tr) to express a desire for, esp politely; ask for or demand [bolding mine]

Certainly, the expression

Could you please open the door?

contains two hedging devices, and

Could you please just open the door?

three.