What does 'on earth as it is in heaven' mean?

These words, “As in heaven so in earth,” must be taken as common to all three preceding petitions.

In other words, the first three petitions of the Lord’s Prayer should be understood like this,

1. Hallowed be Thy name on earth as it is heaven.
2. Thy kingdom come on earth as it is heaven.
3. Thy will be done on earth as it is heaven.

Adonai is our God, there is none else.
Our God is truth, and nothing else compares. As it
is written in Your
Torah: "And you shall know today, and take to
heart, that Adonai is the only
God, in the heavens above and on Earth below.
There is no other."
Therefore we put our hope in You, Adonai our God,
to soon see the glory of
Your strength, to remove all idols from the Earth,
and to completely cut off
all false gods; to repair the world, Your holy
empire. And for all living flesh
to call Your name, and for all the wicked of the
Earth to turn to You. May all
the world's inhabitants recognize and know that to
You every knee must
bend and every tongue must swear loyalty. Before
You, Adonai, our God,
may all bow down, and give honor to Your precious
name, and may all take
upon themselves the yoke of Your rule.​