| The main content of this thesis is divided into two parts.First,we study the singular integral operators induced by the reproducing kernel of the Hardy space.Second,we study the weighted differential composition operators onto little Bloch-type spaces on the unit disk.This paper is divided into four chapters.Chapter 1 is the introduction.We briefly introduce the research significance、research status and the main research content of this paper.In chapter 2,we prove the necessary and sufficient conditions for the singular integral operator K from Za spaces into H∞(D)spaces、from LP(D)spaces into Za spaces and from Hp(D)spaces into Zαspaces.In chapter 3,we prove the boundedness and compactness of weighted differentiation composition operators DΦ,un from β0α onto B0βon the unit disk,and the boundedness and compactness of weighted differentiation composition operators DΦ,un from Bα(B0α)onto Bβ(B0β)were characterized in two aspects,weight functions Φ,u and indexα,β respectively.In chapter 4,we summarize the thesis briefly. |
