Recognition: unknown
Two weight commutators for Beurling--Ahlfors operator
classification
🧮 math.CA
keywords
beurling--ahlforsoperatorweightcharacterisationclasscommutatorcommutatorscomplex
read the original 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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