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math.FA2019
Trace class Toeplitz operators with singular symbols
Grigori Rozenblum, Nikolai Vasilevski
We characterize the trace class membership of Toeplitz operators with distributional symbols acting on the Bergman space on the unit disk. The Berezin transform of distributions, i…
math.FA2019
Toeplitz operators with singular symbols in polyanalytic Bergman spaces on the half-plane
Grigori Rozenblum, Nikolai Vasilevski
Using the approach based on sesquilinear forms, we introduce Toeplitz operator in the analytic Bergman space on the upper half-plane with strongly singular symbols, derivatives of…
math.FA2019
-invariant Fock-Carleson type measures for derivatives of order and the corresponding Toeplitz operators
Kevin Esmeral, Grigori Rozenblum, Nikolai Vasilevski
Our purpose is to characterize the so-called horizontal Fock-Carleson type measures for derivatives of order (we write it -hFC for short) for the Fock space as well as the T…