The first series of petitions carries us toward him, for his own sake: thy name, thy kingdom, thy will! It is characteristic of love to think first of the one whom we love. In none of the three petitions do we mention ourselves; the burning desire, even anguish, of the beloved Son for his Father's glory seizes us: "hallowed be thy name, thy kingdom come, thy will be done...." These three supplications were already answered in the saving sacrifice of Christ, but they are henceforth directed in hope toward their final fulfillment, for God is not yet all in all.
Source: Catechism of the Catholic Church (Vatican.va)