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.