Characterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measures

By S. Ferguson, Cora Sadosky. 2000

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Bounded symbols and Reproducing Kernel Thesis for truncated Toeplitz operators (2009, unknown): “This property has been studied for several classes of operators: Hankel and Toeplitz operators on the Hardy space of the unit disc [7, 21, 32], Toeplitz operators on the Paley–Wiener space [31], semicommutators of Toeplitz operators [26], Hankel operators on the Bergman space [5, 20], and Hankel ope”
FUNCTIONS OF BOUNDED MEAN OSCILLATION (2006, methodology): “As we mentioned at the beginning of this section, many classical operators T are bounded from Lp(Rn) to itself for 1 p ∞, but not for p = 1 or p = ∞ (see e.g., Sadosky [37], Stein-Weiss [42]).”
A characterization of product BMO by commutators (2001, unknown): “) The third idea is that we have the estimates, the second of which was shown in [4], ‖b‖BMO(rect) ≤ c‖[[Mb, H1], H2]‖L2→L2 ≤ c ‖b‖BMO.”
A characterization of productBMO by commutators (2002, background): “The third idea is that we have the estimates, the second of which was shown in [4],”