In the tournament’s first match at Arthur Ashe Stadium, Radwanska needed only 63 minutes to improve to 28-2 in Grand Slam openers. She won 15 of 21 points at the net.
The US Open is the only major tournament in which the Polish star has never made the quarterfinals. She has reached that stage at the first three Grand Slam events this year, something no other woman has accomplished.
The 69th-ranked Soler-Espinosa, from Spain, advanced to the third round at the US Open the last two years.