Products of Toeplitz and Hankel Operators on Fock Spaces.

In this paper, we characterize bounded Toeplitz product T f T g and Hankel product H f ∗ H g on Fock space F α 2 for two polynomials f and g in z and z ¯ . As a consequence, we obtain when Toeplitz operator T f or Hankel operator H f with the polynomial symbol f in z and z ¯ is bounded. [ABSTRACT FROM AUTHOR]