The equivalent norms and the Gleason's problem on μ-Zygmund spaces in Cn

Abstract Let μ be a normal function on [ 0 , 1 ) . In this paper, the authors give four equivalent norms of the functions in the μ -Zygmund space Z μ ( B ) on the unit ball B in C n . At the same time, the authors prove that the Gleason's problem is solvable on Z μ ( B ) .