What does Boaz mean?
Scholarly readings favor 'in him is strength' or 'in strength,' from be 'in' + oz (root '-z-z, 'to be strong'). An alternative traces it to a root meaning 'swiftness, quickness,' and Martin Noth preferred 'sharp mind.' The name of Ruth's husband and of a pillar of Solomon's Temple. The widespread name-site gloss 'swiftness' is weaker than the 'strength' reading; meaning is debated.
What does Doron mean?
From the Greek word doron 'gift', adopted into Hebrew and now used chiefly in Israel. Directly means 'gift'; predominantly masculine but occasionally unisex.