This process occurs because of the vacuum of space, not as the result of energy absorbed from the sun. The heat we feel from the Sun here on the Earth's surface is the result of the energy from the sunlight being absorbed and retained by the atmosphere. In space, the only energy you "see" is what strikes you in a "line-of-sight" sense. The amount of energy involved in this situation would be very small and would have a relatively small impact on the evaporation and sublimation processes.