The Commutant Of Analytic Toeplitz Operators

Let H~p be a Hardy space and T_φbe an analytic Toeplitz operator from H~2 to H~2. In this paper,we construct a class of analytic Toeplitz operators and characterize its commutant.This paper contains four chapters.ChapterⅠ,we introduce the relative background in this paper;ChapterⅡ,we introduce some preliminary knowledge of this paper;ChapterⅢ,by the tools of reproduct kernel,complex variable theory and topology theory,we obtain the commutant of a class of analytic Toeplitz operator; ChapterⅣ,the main results are given in this paper.