Luke 11:2

Or, because the name of God is given by idolaters, and those who are in error, to idols and creatures, it has not as yet been so made holy, as to be separated from those things from which it ought to be. He teaches us therefore to pray that the name of God may be appropriated to the only true God; to whom alone belongs what follows, Thy kingdom come, to the end that may be put down all the rule, authority, and power, and kingdom of the world, together with sin which reigns in our mortal bodies.

And because in the name of Jesus is the glory of God the Father, the name of the Father will be hallowed whenever Christ shall be known.

(Const. Monast. cap. 1.) There are two kinds of prayer, one composed of praise with humiliation, the other of petitions, and more subdued. Whenever then you pray, do not first break forth into petition; but if you condemn your inclination, supplicate God as if of necessity forced thereto. And when you begin to pray, forget all visible and invisible creatures, but commence with the praise of Him who created all things. Hence it is added, And he says unto them, When you pray, say, Our Father.

(Orat. Dom. Serm. 2.) See how great a preparation thou needest, to be able to say boldly to God, O Father, for if thou hast thy eyes fixed on worldly things, or courtest the praise of men, or art a slave to thy passions, and utterest this prayer, I seem to hear God saying, 'Whereas thou that art of a corrupt life callest the Author of the incorruptible thy Father, thou pollutest with thy defiled lips an incorruptible name. For He who commanded thee to call Him Father, gave thee not leave to utter lies. (et serm. 3.). But the highest of all good things is to glorify God's name in our lives. Hence He adds, Hallowed be thy name. For who is there so debased, as when He sees the pure life of those who believe, does not glorify the name invoked in such a life. He then who says in his prayer, Be thy name, which I call upon, hallowed in me, prays this, "May I through Thy concurring aid be made just, abstaining from all evil." (ubi sup.) We beseech also to be delivered by the Lord from corruption, to be taken out of death. Or, according to some, Thy kingdom come, that is, May Thy Holy Spirit come upon us to purify us. (Orat. Dom. serm. 4.) For since He says that the life of man after the resurrection will be like to that of Angels, it follows, that our life in this world should be so ordered with respect to that which we hope for hereafter, that living in the flesh we may not live according to the flesh. But hereby the true Physician of the souls destroys the nature of the disease, that those who have been seized with sickness, whereby they have departed from the Divine will, may forthwith be released from the disease by being joined to the Divine will. For the health of the soul is the due fulfilment of the will of God.

For as when a man gazes upon the beauty of the heavens, he says, Glory be thee, O God; so likewise when He beholds a man's virtuous actions, seeing that the virtue of man glorifies God much more than the heavens. As if He says, Enable us, O Lord, to follow the heavenly life, that whatever Thou willest, we may will also.