air, heaven(-ly), sky

Boyd’s Bible Dictionary:

(heaved). Firmament (Gen. 1:1; Matt. 5:18). Abode of God (1 Kings 8:30; Dan. 2:28; Matt. 5:45). Paradise (Luke 23:43).

“Air” From Concise Bible Dictionary:

1. ἀήρ, the fluid that we breathe, and which surrounds the earth. There are two remarkable references to the air: one, that at the Rapture of the saints the raised dead and the living will be caught up into the clouds, and will meet the Lord in the air (1 Thess. 4:17), in the same sphere in which the Lord disappeared at His ascension. The other is that Satan is called the prince of the power of the air (Eph. 2:2), doubtless referring to the permeating character of the air, which we not only breathe, but it fills our houses and enters everywhere. When the air is tainted with malaria it permeates everywhere and poisons everything; so Satan has such power that his poisonous spirit morally contaminates everything in the world, of which he is the god.
2. οὐρανός, literally “heaven,” translated “air” only in reference to the birds and fowls (Matt. 8:20).

“Heaven” From Concise Bible Dictionary:

The principal words so translated are shamayim, from “the heights,” and οὐρανός. They are used in a variety of senses: as
1. The atmosphere in which the birds fly, and the lightning appears, and from whence the rain descends (Gen. 7:23; Deut. 11:11; Dan. 4:21; Luke 17:24). It will pass away (2 Pet. 3:10,12).
2. The firmament or wide expanse in which are seen the sun, moon, and stars (Gen. 1:14-15,17).
3. The abode of God, where His throne is (Psa. 2:4; Psa. 11:4; Matt. 5:34). Whence the Lord descended and to which He ascended, and where He was seen by Stephen (Mark 16:19; Acts 7:55; 1 Cor. 15:47).
4. The abode of angels (Matt. 22:30; Matt. 24:36; Gal. 1:8).
It is important to see that, in forming the present system of this world, God made a heaven to this earth, so that the earth should be ruled from heaven. The blessing of the earth, either materially or morally, depends upon its connection with heaven. This blessing will be full when the kingdom of the heavens is established in the Son of Man, and He will come in the clouds of heaven (Psa. 68:32,35). It is the place of angelic power, “the principalities and powers in the heavenly places” being angelic, Satan and his angels, though fallen, still being among them (Job 1:6; Job 2:1; Rev. 12:7-9).
That there are various heavens is evident; Satan cannot have entrance into the glory, and Paul speaks of being caught up into the third heaven (2 Cor. 12:2); and the Lord Jesus passed through the heavens, and we read of “the heaven of heavens” (Deut. 10:14; 1 Kings 8:27). Very little is said of the saints going to heaven, though their citizenship is there now (Phil. 3:20); but they are to be where Jesus is, and He went to heaven, and prepared a place for them. In the Revelation the four and twenty elders are seen in heaven sitting on “thrones.” To Him that sitteth on the throne, and to the Lamb be glory forever and ever. Amen. Believers “look for NEW HEAVENS and a new earth, wherein dwelleth righteousness” (2 Pet. 3:13; Rev. 21:1).

Strong’s Dictionary of Greek Words:

Greek:
οὐρανός
Transliteration:
ouranos
Phonic:
oo-ran-os’
Meaning:
perhaps from the same as 3735 (through the idea of elevation); the sky; by extension, heaven (as the abode of God); by implication, happiness, power, eternity; specially, the Gospel (Christianity)
KJV Usage:
air, heaven(-ly), sky