تفسير : (owner of the day of judgement) the arbitrator on the day of judgement which is the day of reckoning and settlement of disputes between created beings, i.e. the day when people are judged according to their deeds; there is no judge save him.
Jalāl al-Dīn al-Maḥallī
تفسير : master of the day of judgement: that is, [the day of] requite, the day of resurrection. the reason for the specific mention [of the day of judgement] is that the mastery of none shall appear on that day except that of god, may he be exalted, as is indicated by [god’s words] ‘whose is the kingdom today?’ ‘god’s’ [q. 40:16] (if one reads it mālik [as opposed to malik], then this signifies that he has possession of the entire affair on the day of resurrection, or else that he is ever described by this [expression], in the same way as [he is described as] ‘forgiver of sin’ (ghāfir al-dhanb). thus, one can validly take it as an adjective of a definite noun).
Sahl al-Tustari
تفسير : the master of the day of judgement:that is, the day of reckoning.