Boundedness of commutators on Herz spaces with variable exponent

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Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent (2010, methodology): “Recently the author [10, 11 ] has defined the generalized Herz spaces u”
Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces (2012, background): “There are several new characterizations of BMO presented in [7, 9, 11].”
The singular integral operator and its commutator on weighted Morrey spaces (2016, background): “ with σ(x) = w(x)− q′ q : kMfkHq′,n(1−q/p)(dx,σ) ≤ CkfkHq′,n(1−q/p)(dx,σ) (f ∈ H q′,n(1−q/p)(dx,σ)). Many mathematicians have considered the equivalent BMO norms and we list the following: (1) (Izuki [14]) Let p(·) : Rn → (0,∞) be a measurable function. The variable Lebesgue norm kfkLp(·)(Rn) is deﬁ”