THE CHARACTERISATION OF BMO VIA COMMUTATORS IN VARIABLE LEBESGUE SPACES ON STRATIFIED GROUPS

摘要

Let T be a bilinear Calderon-Zygmund operator, b is an element of boolean OR L-q>1(loc)q (G). We firstly obtain a constructive proof of the weak factorisation of Hardy spaces. Then we establish the characterization of BMO spaces by the boundedness of the commutator b, T(j) in variable Lebesgue spaces.