We report the observation of capillary wave turbulence on the surface of a fluid layer in low gravity environment. In such conditions, the fluid covers all the internal surface of the spherical container which is submitted to random forcing. The surface wave amplitude displays power-law spectrum over two decades in frequency. This spectrum is found in roughly good agreement with the wave turbulence theory. Such a large band observation has never been reached during ground experiments due to the presence of gravity waves. When the forcing is periodic, two-dimensional spherical patterns are observed on the fluid surface such as subharmonic stripes or hexagons with wavelength satisfying the capillary wave dispersion relation.