We present the UV composite luminosity function for galaxies in the Virgo , Coma and Abell 1367 clusters .
The luminosity function ( LF ) is well fitted by a Schechter function with M _ { UV } ^ { * } -5 ~ { } \log~ { } h _ { 75 } = - 20.75 \pm 0.40 and \alpha = - 1.50 \pm 0.10 and does not differ significantly from the local UV luminosity function of the field .
This result is in agreement with recent studies carried out in the H \alpha and B-bands which find no difference between the LFs of star forming galaxies in clusters and in the field .
This indicates that , whatever mechanisms are responsible for quenching the star formation in clusters , they influence similarly the giant and the dwarf populations , leaving the shape of the LF unchanged and only modifying its normalization .