Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces

Al-Qabani, A., Hilberdink, T. and Virtanen, J. A. (2020) Fredholm theory of Toeplitz operators on doubling Fock Hilbert spaces. Mathematica Scandinavica, 126 (3). pp. 593-602. ISSN 1903-1807 doi: 10.7146/math.scand.a-120920

Abstract/Summary

We study the Fredholm properties of Toeplitz operators acting on doubling Fock Hilbert spaces, and describe their essential spectra for bounded symbols of vanishing oscillation. We also compute the index of these Toeplitz operators in the special case when ϕ(z) = |z| β with β > 0. Our work extends the recent results on Toeplitz operators on the standard weighted Fock spaces to the setting of doubling Fock spaces.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/85955
Identification Number/DOI	10.7146/math.scand.a-120920
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Mathematica Scandinavica
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