Espace de Dixmier des op\'erateurs de Hankel sur les espaces de Bergman \`a poids
Romaric Tytgat
TL;DR
This paper calculates the Dixmier trace of Hankel operators on weighted Bergman spaces, extending previous results known for unweighted spaces, thereby deepening understanding of operator traces in complex analysis.
Contribution
The paper extends the computation of the Dixmier trace of Hankel operators to weighted Bergman spaces, generalizing prior results for unweighted spaces.
Findings
Dixmier trace computed for Hankel operators on weighted Bergman spaces.
Results align with known unweighted space cases.
Provides new insights into operator traces in weighted settings.
Abstract
We compute the Dixmier trace of Hankel operator on the weighted Bergman space. The same result of the Bergman space has been shown by Englis and Rochberg.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Geometry and complex manifolds