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Book Sections Year : 2023

On discrete spectra of Bergman-Toeplitz operators with harmonic symbols

Abstract

In the present article, we study the discrete spectrum of certain bounded Toeplitz operators with harmonic symbol on a Bergman space. Using the methods of classical perturbaton theory and recent results by Borichev-Golinskii-Kupin and Favorov-Golinskii, we obtain a quantitative result on the distribution of the discrete spectrum of the operator in the unbounded (outer) component of its Fredholm set.
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hal-03650364 , version 1 (26-04-2022)

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Leonid Golinskii, Stanislas Kupin, Masimba Nemaire, Juliette Leblond. On discrete spectra of Bergman-Toeplitz operators with harmonic symbols. From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko, 291, Springer International Publishing, 2023, Operator Theory: Advances and Applications, ⟨10.1007/978-3-031-31139-0⟩. ⟨hal-03650364⟩
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