'Hallowed be thy name' is to be understood as a reference to the Father in His humanity, which is the Father's 'name.'
'Hallowed be thy name,' as mentioned in Matthew 6:9, signifies going to the Lord and worshiping Him, as mentioned in Revelation 15:4, John 12:28, etc.
The father is 'hallowed' in the son, and by angels and men through the son, as mentioned in John 17:19-26.
(References: Apocalypse Revealed 839)
