文摘
In this paper, we give theoretical results on Macaev ideal and Dixmier trace. Then we give a characterization of antiholomorphic symbols \(\overline f \) such that the Hankel operator \({H_{\overline f }}\) 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 \(\mathcal{S}^p\) when p tends to 1, using results of Engli? and Rochberg on Bergman space. We also give results on powers of such operators.