Toeplitz operators on Fock-Sobolev type spaces
Hong Rae Cho, Joshua Isralowitz, Jae-Cheon Joo
TL;DR
This paper investigates the properties of Toeplitz operators with positive measure symbols on weighted Fock-Sobolev spaces of fractional order, focusing on boundedness, compactness, and Schatten class membership.
Contribution
It provides a characterization of operator-theoretic properties of Toeplitz operators on these specialized function spaces, extending existing theory to fractional order spaces.
Findings
Characterization of boundedness conditions
Criteria for compactness of Toeplitz operators
Conditions for Schatten class membership
Abstract
In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock-Sobolev spaces of fractional order.
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