Q_k Space And Related Operator Theory

In this paper, mainly study some operators between some subspaces of analytic function space and QK-type spaces on the unit disk of the complex plane and investigate some basic properties of the QK-type spaces.The paper is divided into six part.The first part, mainly introduce some basic status about Function Space and Operator The-ory and QK-type spaces followed by a description of some mathematical symbols.The second part, formulate some basic categories and concepts related to the research of the article. some of the previous conclusions and results which may be used in the paper also be stated.The third part, study the composition operator, multiplication operator and weighted com-position operator from QK-type space to a-Bloch space.The fourth part, concern with the boundedness and compactness of the Volterra operator on QK-type spaces, as well as the Volterra operator from QK-type space to Bloch-type space and from Bergman space to QK-type spaces.The fifth part, study the boundedness and compactness of the product of Volterra operator and composition operator (integral-type operator) from QK-type space to Bloch-type space and Zygmund-type space.The sixth part, investigate some basic properties of operator matrix and the expression of operator matrix of some common operator...