A Class Of Ideals Of Banch Algebra D A(D)

In this thesis,we mainly study the principal ideals generated by outer functions in the analytic Banach algebra D∩A(D)).We first describe the closed ideals with finite zero points.Furthermore we get all principal ideals generated by any outer function with the same finite zero set are the same;Secondly,we show that if |f| is Dini continuous on T,then the principal ideals generated by f and fn(n is apositive integer)are the same.