Palma de Mallorca airport (PMI) is very accessible from anywhere in Europe, and during June many of the low cost and charter airlines run daily flights to the island.
See www.skyscanner.com for airlines and quotes.
A taxi ride from the airport to central Palma will cost approx. €20 and takes 10-15 minutes. If you are heading for the Superyacht Cup Regatta Village, ask for the Muelle Viejo.