Source : Webster's Revised Unabridged Dictionary (1913)

Unjust \Un*just"\, a.
   1. Acting contrary to the standard of right; not animated or
      controlled by justice; false; dishonest; as, an unjust man
      or judge.

   2. Contrary to justice and right; prompted by a spirit of
      injustice; wrongful; as, an unjust sentence; an unjust
      demand; an unjust accusation. -- {Un*just"ly}, adv. --
      {Un*just"ness}, n.

Source : WordNet®

unjustly
     adv : in an unjust manner; "he was unjustly singled out for
           punishment" [ant: {rightly}]