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

Guliyev, Vagif S.Samko, Stefan2022-12-062022-12-062022http://hdl.handle.net/10400.1/18582We 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).engBMOCommutatorsFractional maximal functionQuasi-metric measure spacesVariable Lebesgue spacesCommutators of fractional maximal operator in variable Lebesgue spaces over bounded quasi‐metric measure spacesjournal article10.1002/mma.83031099-1476