Products of Toeplitz and Hankel Operators on Fock-Sobolev Spaces

Abstract

In this paper, the authors investigate the boundedness of Toeplitz product T _f T _g and Hankel product H* _f H _g on Fock-Sobolev space for $f,g \in {\cal P}$. As a result, the boundedness of Toeplitz operator T _f and Hankel operator H _f with $f \in {\cal P}$ is characterized.

Keywords

Toeplitz product / Hankel product / Fock-Sobolev space

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