3 papers
math.FA2026
Critical Schatten exponents for the Berger-Coburn endpoint problem
Jani A. Virtanen
Berger and Coburn showed that boundedness of a Toeplitz operator on the Fock space controls the heat transform for , and conjectured that is bounded…
math.FA2026
Interchanging limits in the mutual information of two intervals separated by one site
Carlo Bellavita, Jani A. Virtanen
In the paper J. Phys. A: Math. Theor. 53 (2020), 345303, the limiting mutual information between two intervals separated by one lattice site in a free-fermion chain was evaluated.…
math.FA2025
Toeplitz operators on large vector-valued Fock spaces
Hicham Arroussi, Ghazaleh Asghari, Jani Virtanen
We characterize boundedness and compactness of Toeplitz operators on large vector-valued Fock spaces with Dall'Ara's weights [Adv.\ Math., 285 (2015) 1706--1740] in terms of genera…