"And it shall come to pass in the last days, saith God,I will pour out of my Spirit upon all flesh: and your sons and your daughters shall prophesy, and your young men shall see visions, and your old men shall dream dreams: And on my servants and on my handmaidens I will pour out in those days of my Spirit; and they shall prophesy: And I will shew wonders in heaven above, and signs in the earth beneath; blood, and fire, and vapour of smoke: The sun shall be turned into darkness, and the moon into blood, before that great and notable day of the Lord come: And it shall come to pass, that whosoever shall call on the name of the Lord shall be saved. "
Given that the author of Acts was seemingly inspired by the Jewish Passover in writing his account, we could infer that he was also aware of the passage in the Book of Joel. Joel himself knew nothing of Pentecost, but the words attributed to Peter in the Pentecost story create an association as the prophet of Pentecost.
Another Answer:
The Apostle Peter was inspired to quote from Joel as the 1st Pentecost was occurring. The Book of Joel is one of the most dire in Scripture. Perhaps Peter was contrasting the dire times for the newly formed Church of God and giving encouragement that it would prevail (see Revelation 12 for condensed history of the Church through the Ages).
On Pentecost God was starting a new entity, the Church of God. It would be a spiritual body of believers called from many different nations. No longer would God work only with one nation, Israel, the descendants of Abraham. This new body of believers would be empowered with the Holy Spirit to go into all the world, preach the Coming Kingdom of God.
Perhaps Peter's reference to Joel's prophecies was in part a signal that though the task before believers would be challenging, there would always be the constant aid and comfort of God's power through His Holy Spirit? Was God reminding us through this reference to Joel's stark prophetic book that the Church would develop in a hostile environment (see Matthew 11:12).
We can only point to possible reasons Peter was inspired to quote Joel. But because he did, some have dubbed Joel as the prophet of Pentecost.
Peter quotes the prophet Joel - Joel 2:28 ff.
Peter said that this is that as to which was spoken by the prophet Joel 2:28-32
Peter explained that they were not drunk, but filled with the Holy Spirit as predicted by the prophet Joel.
As recorded in Acts 2:16-21, Peter heavily cited the prophet Joel, who specifically wrote of the events that occurred on Pentecost in Joel 2:28-32. He also quoted David (from Psalm 68), and alluded to prophecy found in Isaiah.
Joel:1:1: The word of the LORD that came to Joel the son of Pethuel. Joel was a prophet.
The prophet Joel, the son of Pethuel. (Joel 1:1)
Spirit of Prophecy himself or the Holy Spirit.
The prophet Joel is believed to have lived during the 9th century BC in ancient Israel. His book in the Old Testament is thought to have been written during a time of great locust plague and drought in the region.
Joel 1:1 ?"The word of the LORD that came to Joel the son of Pethuel."?
2 places: In Acts chapter 2, the Apostle Peter qouted the prophet Joel, when explaining to the crowd what they were witnessing during Pentecost.
Jerusalem
Firery furnace