Variation and oscillation inequalities for commutators in two-weight setting
In this manuscript, the authors introduce the two-weight estimates of variation and oscillation operators for commutators of singular integrals with weighted BMO functions. A new characterization of weighted BMO spaces via the boundedness of variation and oscillation operators for the iterated commutators of Calderón-Zygmund singular integrals in the two-weight setting is given. The results in this paper are rich, novelty, and the arguments are nontrivial. Moreover, the paper is written well.
scientific article; zbMATH DE number 7318572
scientific article