The Product-type Operators And Integral-type Operators On Some Kinds Of Holomorphic Function Spaces

In this paper,we mainly investigate the product-type operators and the integral-type operators on the Area Nevanlinna space,Bloch-Orlicz space,mixed-norm space and other kinds of holomorphic function spaces on the unit disk D.We will get the equivalent conditionsof the boundedness and compactness of the operator from one space to the other space.The main contents are as follows.In chapter one,some backgrounds and current situations of the operator theory on the holomorphic function spaces are given,and some basic conceptions which will be used in this paper are listed.In chapter two,the boundedness and compactness of the product-type operators M_uC_φD,M_uDC_φ,C_φM_uD,DM_uC_φ,C_φDM_u,DC_φM_u and the integral-type operator C_φ.gn from Area Nevanlinna space Nαp to Zygmund-type space Z_μ are given.In chapter three,the boundedness and compactness of the produet-type operator of DM_uC_φ from α-Zygmund space Zαto Bloch-Orlicz space B_φ are given.In chapter four,we investigate the boundedness and compactness of the product-type operator DM_uC_φ from miixed-norm space H（p,q,φ）to Bloch-Orliez space B_φIn chapter five,we investigate the boundedlless and compethness of the general-ized composition operator C_φ^g from α-Zygmund space Zα Bloch-Orliez space Bφ and Zygmund-orliez space Z_φIn chapter six.we characterize the boundedness and compactness of the genralized composition operator C_φ^g from mixed-norm space H（p,q,φ）to nth weighted space W_μⁿ.In chapter seven,we characterize the boundedness and compactness of the weighed composition operator uC_φ from F（p,q,s）space to nth weighted-Oriliez space W_φⁿ.