Bounded And Invertible Properties Of Toeplitz Products On Dirichlet Space

The paper studied bounded and invertible properties of Toeplitz prod-ucts on Dirichlet space , which consists of three chapters.In Chapter I, the research background, some preliminaries and mainresults of the paper are introduced.In Chapter II, we discuss boundness of Toeplitz products TfTgandTfTg on the Dirichlet space,where f and g in the Dirichlet space. Weobtain a sufcient conditon and some necessary conditon.In Chapter III, we completely describe when the Teoplitz productTfTgand TfTg are invertible on the Dirichlet space ,where f and g inmultiplier space of the Dirichlet space.