Author

Fabio Nicola

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Open access Jul 2026

The Isoperimetric Inequality for Partial Sums of Toeplitz Eigenvalues in the Fock Space

Abstract. We prove that, among all subsets [Formula: see text] having circular symmetry and prescribed measure, the ball is the only maximizer of the sum of the first [Formula: see text] eigenvalues ([Formula: see text]) of the corresponding Toeplitz operator [Formula: see text] on the Fock space [Formula: see text]....

Fabio Nicola, Federico Riccardi, P. Tilli · SIAM Journal on Mathematical... · 0 citations

Preprint Jul 2026

On the existence of extremizers for the sum of eigenvalues of Toeplitz operators

We prove that, among all measurable sets $\Omega\subset\mathbb{C}$ of prescribed Lebesgue measure, there exists a set maximizing the sum of the first $K$ eigenvalues ($K\geq 1$) of the associated Toeplitz operator on the Fock space. In the Fock setting, the case $K=1$ is well known, the optimal sets being balls of pres...

Fabio Nicola, Federico Riccardi, P. Tilli · 2 citations · ⚡1