Some Problems On Holomorphic Function Spaces In C~n

In this thesis we mainly consider some problems on holomorphic function spaces on Cn. The thesis consists of four chapters.In Chapter 1, we introduce the background of our studying problems and state our main results.In Chapter 2, we prove that the Gleason's problem (B,a,F(p,q,s)) is solvable for any fixed a∈B.In Chapter 3, we get some inclusion relations between F(p, q, s) space and some other function space on the unit ball of Cn. Meanwhile, we prove that F(p, q, s) (?)β(?) when 0≤s≤n.In Chapter 4, we discuss the pointwise multipliers between Zymund type spaces and Bloch type spaces (resp. Zymund type spaces and Ber type spaces) on the unit disk.