L–Invariant Fock–Carleson Type Measures for Derivatives of Order k and the Corresponding Toeplitz Operators
Journal article, 2019

Our purpose is to characterize the so-called horizontal Fock–Carleson type measures for derivatives of order k (we write it k-hFC for short) for the Fock space as well as the Toeplitz operators generated by sesquilinear forms given by them. We introduce real coderivatives of k-hFC type measures and show that the C*-algebra generated by Toeplitz operators with the corresponding class of symbols is commutative and isometrically isomorphic to a certain C*-subalgebra of L∞(ℝn). The above results are extended to measures that are invariant under translations along Lagrangian planes.


K. Esmeral

University of Caldas

Grigori Rozenblioum

Saint Petersburg State University - Spsu

Chalmers, Mathematical Sciences

N. Vasilevski

Centro de Investigacion y de Estudios Avanzados Centro de Investigacion y de Estudios Avanzados (CINVESTAV)

Journal of Mathematical Sciences

1072-3374 (ISSN) 15738795 (eISSN)

Vol. 242 2 337-358

Subject Categories

Algebra and Logic


Mathematical Analysis



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