Two weight commutators for Beurling--Ahlfors operator
Classical Analysis and ODEs
2017-08-01 v1
Abstract
We establish the equivalent characterisation of the weighted BMO space on the complex plane 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.
Cite
@article{arxiv.1707.09513,
title = {Two weight commutators for Beurling--Ahlfors operator},
author = {Xuan Thinh Duong and Ji Li and Brett D. Wick},
journal= {arXiv preprint arXiv:1707.09513},
year = {2017}
}