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arXiv · 1707.09513

Two weight commutators for Beurling--Ahlfors operator

Xuan Thinh Duong·Ji Li·Brett D. Wick
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Abstract

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.

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Xuan Thinh Duong, Ji Li, Brett D. Wick. 2017-07-29. Two weight commutators for Beurling--Ahlfors operator. https://arxiv.org/abs/1707.09513

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