Two weight commutators for Beurling--Ahlfors operator

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.

References in corpus (1)

• Two weight Commutators in the Dirichlet and Neumann Laplacian settings