Toeplitz operators on Fock-Sobolev type spaces

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.

v1: 36 pages, no figures, submitted, v2: 33 pages, major stylistic changes made and typos corrected, no figures, submitted