The equivalent norms and the Gleasonʹs problem on μ-Zygmund spaces in

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 Gleasonʹs problem is solvable on Z μ ( B ) .