Mathematics – Operator Algebras
Scientific paper
2012-01-10
Recent trends in Toeplitz and pseudodifferential operators, 195-201, Oper. Theory Adv. Appl., 210 (2010)
Mathematics
Operator Algebras
Scientific paper
Let $D$ be a homogeneous bounded domain of $\mathbb{C}^n$ and $\mathcal{A}$ a
set of (anti--Wick) symbols that defines a commutative algebra of Toeplitz
operators on every weighted Bergman space of $D$. We prove that if
$\mathcal{A}$ is rich enough, then it has an underlying geometric structure
given by a Lagrangian foliation.
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