Equivalent Charactertion Of F(p,q,s) Space And Its Application On C~n

This paper is devoted to equivalent charactertion of F(p,q,s) on Cn; the pointwise multipliers on space F(p,q,s); the pointwise multipliers between F(p,q,s) andμ-Bloch It consists of three chapters.In Chapter 1, the background and present conditions are introduced and summarized for the study of space F(p,q,s) and multipliers on spaces of holo-morphic functions.In Chapter 2, The equivalent charactertion of F(p,q,s) are discussed on Cn, Its equivalent form of higher derivative are obtained. As its applications,we have studied the pointwise multipliers on F(p,q,s) in§2.4. As if 0< p<∞, 0≤s<∞, max{-n - 1, - s - 1}< q<∞sufficient and necessary conditions of the pointwise multipliers on F(p,q,s) are obtained.In Chapter 3, The pointwise multipliers between F(p,q,s) andμ-Bloch on Cn are discussed. As 0< p<∞,0≤s<∞, - n - 1< q<∞, - 1< q＋s<∞, the pointwise multipliers between F(p,q,s) andμ-Bloch are descripted. And given the number of inference, to improve and expand the conclusions of the corresponding.