Asian markets came under pressure on Friday, closing mixed despite a positive finish on Wall Street overnight, as a newly weaker dollar brought fresh concerns.

"The U.S. dollar basket has lost 3.2 percent since the close on Friday and 2.3 percent in two days, with Wednesday being the worst single day in [the dollar index] DXY in seven years," Evan Lucas, market strategist at spreadbetter IG, said in a morning note.