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Products of Toeplitz operators on the Fock space

Author:
Cho, Hong Rae   Park, Jong-Do   Zhu, Kehe  


Journal:
Proceedings of the American Mathematical Society


Issue Date:
2014


Abstract(summary):

Let f and g be functions, not identically zero, in the Fock space F-alpha(2) of C-n. We show that the product TfT(g) over bar of Toeplitz operators on F-alpha(2) is bounded if and only if f(z) = e(q(z)) and g(z) = ce(-q(z)), where c is a nonzero constant and q is a linear polynomial.


Page:
2483-2489


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