Commutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi‐metric measure spaces

Guliyev, Vagif S.; Samko, Stefan

http://hdl.handle.net/10400.1/18582

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Authors

Guliyev, Vagif S.

Samko, Stefan

Abstract(s)

We study the fractional maximal commutators Mb,𝜂 and the commutators[b, M𝜂] of the fractional maximal operator with b ∈ BMO(X) in the variable Lebesgue spaces Lp(·)(X) over bounded quasi-metric measure spaces. We give necessary and sufficient conditions for the boundedness of the operators Mb,𝜂 and [b, M𝜂] on the spaces Lp(·)(X) when b ∈ BMO(X). Furthermore, we obtain some new characterizations for certain subspaces of BMO(X).