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Commuting Hankel and Toeplitz operators on the Bergman space. (Chinese. English summary) Zbl 1243.47060
Summary: In this paper, the authors prove that, if two small Hankel operators on the Bergman space commute and the symbol of one of them is quasihomogeneous, then the other one is also quasihomogeneous. Furthermore, the commutativity of Toeplitz operators and small Hankel operators is also studied.

MSC:
47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators
47B47 Commutators, derivations, elementary operators, etc.
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