On spectra of Hankel operators on the polydisc

Abstract

We give sufficient conditions for the essential spectrum of the Hermitian square of a class of Hankel operators on the Bergman space of the polydisc to contain intervals. We also compute the spectrum in case the symbol is a monomial.

arXiv commentfixed few typos, to appear in Can. Math. Bull

References in corpus (4)

• Compactness of Hankel operators and analytic discs in the boundary of pseudoconvex domains
• Essential norm estimates for the $\bar{\partial }$-Neumann operator on convex domains and worm domains
• Compactness of Hankel operators with continuous symbols
• A Sufficient condition for compactness of Hankel operators