ここでの喫煙は許されていません。

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.

indicates possessive; nominalizes verbs and adjectives; substitutes for "ga" in subordinate phrases; (at sentence-end, falling tone) indicates a confident conclusion; (at sentence-end) indicates emotional emphasis; (at sentence-end, rising tone) indicates question

smoking

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

to permit; to allow; to approve; to tolerate; to exempt (from fine); to excuse (from); to pardon; to forgive; to release; to let off; to confide in; to give up; to yield