ここではおタバコをご遠慮願います。

here (place physically close to the speaker, place pointed by the speaker while explaining); this place; these last (followed by a duration noun and a past sentence: time period before the present time of the speaker); these next ... (followed by a duration noun and a non past sentence: time period after the present time of the speaker); the next ...

indicates location of action; at; in; indicates time of action; indicates means of action; cause of effect; by; and then; so; indicates continuing action; indicates certainty, emphasis, etc.

topic marker particle; indicates contrast with another option (stated or unstated); adds emphasis

honorific/polite/humble prefix

tobacco; cigarette; cigaret; cigar; tobacco plant (Nicotiana tabacum)

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.

honorific/polite/humble prefix; honorific suffix

reserve; constraint; restraint; modesty; diffidence; hesitation; holding back; discretion; tact; thoughtfulness; declining; refraining; forethought; foresight

to desire; to wish; to hope; to beg; to request; to implore; to pray; to have something done for oneself