“And he commanded them to be baptized in the name of the Lord. Then prayed they him to tarry certain days.”
King James Version (KJV)
10:48 In the name of the Lord - Which implies the Father who anointed him, and the Spirit with which he was anointed to his office. But as the Gentiles had before believed in God the Father, and could not but now believe in the Holy Ghost, under whose powerful influence they were at this very time, there was the less need of taking notice, that they were baptized into the belief and profession of the sacred Three: though doubtless the apostle administered the ordinances in that very form which Christ himself had prescribed.
Ac 10:48 Commanded them to be baptized. All who heard and upon whom the Holy Spirit fell. In the name of the Lord. In acknowledgment of his authority. All the baptisms of Acts are "in" his name, but "into" the names of the Father, and the Son, and the Holy Spirit.