DIXMIER AREA OF HANKEL OPERATORS ON THE BERGMAN SPACES BY WEIGHT

In this paper, we give theoretical results on Macaev ideal and Dixmier trace. Then we give a characterization of antiholomorphic symbols such that the Hankel operator on a Bergman weighted space is in an ideal of Macaev and we give the Dixmier trace. For this, we look at the behavior of Schatten's norms when p tends to 1, using results of Engli and Rochberg on Bergman space. We also give results on powers of such operators.