Sarason’s Conjecture of Toeplitz Operators on Fock-Sobolev Type Spaces

Abstract EN

In this note, we will solve Sarason’s conjecture on the Fock-Sobolev type spaces and give a well solution that if Toeplitz product T u T v ¯ , with entire symbols u and v , is bounded if and only if u = e q , v = C e - q , where q is a linear complex polynomial and C is a nonzero constant.