Study On The Analytical Property Of Q_logSpace

In this paper,with some analysis of Qlog space in the nature of the research and extension,Dlog space and Qlog space interpolation theorems are proved respectively,finally by utilizing the characteristics of K-Carleson measures,depict the Bloch functions to the Qlog space distance.First,the first chapter introduces the theory of function space of the historical background,give some function space development process,and then describes the research scope of this article mainly nature of some analysis and conclusions.The second chapter firstly introduces the definition of function space,then gives the selection property of Dlog space,and finally proves the interpolation theorem of Dlog space and the final inference.The third chapter studies the Qlog space interpolation problem,through the use of complex analysis and harmonic analysis technique,obtained the sequence on the unit disk{Zn} is analytic function Qlog?H? space interpolation sequenceis a necessary and sufficient condition,the conclusions generalize the QK space part of the conclusion.The fourth chapter,according to the nature of the weight function K,utilizes the characteristics of K-Carleson measure,describes the distance of Bloch function to Qlog space,and finally promotes the results of Jones and zhao.