The Discussion Of Several Kinds Of Function Space

In the first chapter, the pointwise multipliers from space F(p, g, s) to space on the unit ball B of Cn will be discussed. The multiplier spaces M(F(p, q, s), ) are fully characterized according to different values of parameters p , q , s , .Let Un be unit Multi-circular Cylinder of n-dimensionality complex space Cn and = ( 1,..., n) be a holomorphic map from Un to Un. The second chapter will discuss the Compactness of Composition Operator on the Lipschitz Lip (Un) , and the sufficient and necessary condition of C 's being compact operater on Lip (Un) is obtained, which improves the result of Zhou.In the last chapter, the inclusive relations are studied between the families of Stietjes integrals and Bloch type space, Bosov space, Bergman space on Cn.