Let *\Omega* be a *C^2*-smooth bounded pseudoconvex domain in *\mathbb{C}^n* for *n\geq 2* and let *\varphi* be a holomorphic function on *\Omega* that is *C^2*-smooth on the closure of *\Omega*. We prove that if *H_{\overline{\varphi}}* is in Schatten *p*-class for *p\leq 2n* then *\varphi* is a constant function. As a... Show more

September 6, 2017

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Schatten class Hankel and $\overline{\partial}$-Neumann operators on pseudoconvex domains in $\mathbb{C}^n$

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