Xuan Thinh Duong, Ji Li, Brett D. Wick
Published 2017-07-29Version 1
We establish the equivalent characterisation of the weighted BMO space on the complex plane $\mathbb{C}$ via the two weight commutator of the Beurling--Ahlfors operator with a BMO function. Our method of proofs relies on the explicit kernel of the Beurling--Ahlfors operator and the properties of Muckenhoupt weight class.
An extension to the complex plane of the Riemann-Siegel Z function
On the norm of the Beurling-Ahlfors operator in several dimensions
Quadratic $A_1$ bounds for commutators of singular integrals with BMO functions
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