Hi Gino,
 
Revelation 11:15 "And the seventh angels sounded; and there were great voices in heaven , saying, The kingsoms of this world are become the kingdomes of our Lord, and of his Christ: and he shall reign for ever and ever."
 
Reading the above scripture does imply more to come.   Even though we know that there was a need to accomplish His Sacrifice on the cross to Redeem our souls, it wasn't all finished as far as the earth was concerned.  It was the very thing that disappointed the Jews because they expected their Messiah to gain control of the land and become their physical king but He didn't, did He?  He came the first time for the spiritual aspect of setting men's souls free for any that would call upon Him.
 
But at the sound of the seventh angels, the kingdome is once again His; thus Gino, doesn't this imply that Satan is the king of this world still and is known as the Prince of the Air (that which is of the first heaven surrounding our expanse)?  When Adam, whom was given "kingship" over the earth blew it, he gave that right back to Satan, whom had it at first, after he and his angels were thrown out of the heavan occupied by Our God.  Yes, Jude verse 6 speaks about where his angels have been imprisoned but remember Satan is not there.  Those fallen angels are there, their off-spring of those between Fallen Angels and mankind who have died are there.  The  spirits of those that have died, whom are called demons,  still wander the earth to get another home to possess. The gospel is full of that message.
 
Why does the Word of God say that we are in this world but not of this world?  If it was all completely finished in the physical earth department, then we wouldn't have to steer clear of him and his wiles, right?
 
Enoch also speaks of these Fallen Angels, whom resided at Mt. Hermon, in Israel,  whom asked him to intervene on their behalf to be let back into God's heaven and the Great I Am said "NO".  In other words, "they made their bed, let them sleep in it". (paraphraised for sure)
 
Gino, I believe we have so little understanding about the vastness of God's Universe that include many planets and stars that we have trouble accepting that Satan could actually have rulership over earth.  The angels have their places to which they have been assinged to them to keep this universe going as Jehovah God created it. The Book of Enoch gives excellent accounts of what he was shown in that vaste domaine.  I believe he even spoke of there being Seven Heavens.   The first sin was the sin of Rebellion when those angels did not come when they were called but followed the biggest of Rebels of all, Lucifer, whom saw he just might be able to be like God.
 
Jesus certainly didn't contest that right with Satan that he could give him all of this (earth) but answered in Luke 4:8,  "And Jesus answered and said unto him, Get thee behind me, Satan: for it is written, Thou shalt worship the Lord thy God, and him only shalt thou serve".
 
Satan had the physical earth but he did not have the worship he desired.  And this struggle between physical and spiritual goes on until that final battle.
 
thanks,
gerlinda