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Hankel operators on the Bergman space of bounded symmetric domains

Hankel operators on the Bergman space of bounded symmetric domains

Let $\Omega$ be a bounded symmetric domain in ${\mathbb {C}^n}$ with normalized volume measure $dV$. Let $P$ be the orthogonal projection from ${L^2}(\Omega ,dV)$ onto the Bergman space $L_a^2(\Omega )$ of holomorphic functions in ${L^2}(\Omega ,dV)$. Let $\overline P$ be the orthogonal projection from ${L^2}(\Omega ,dV)$ onto the closed subspace …