Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure

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Fractional integration and differentiation of variable order: an overview (2012, methodology): “We also refer to the study of variable order fractional integrals in variable exponent Morrey spaces in [1, 15, 16, 27].”
Maximal functions, potentials and singular integrals in grand Morrey spaces (2011, background): “Finally we mention that the boundedness of fractional integral operators in classical and variable Morrey spaces was investigated in [25, 26].”
Morrey-Campanato Spaces: an Overview (2013, unknown): “Meskhi [58] (2008), see also [59] (2010), introduced Morrey-type spaces M q(⋅) p(⋅) in the general setting when the underlying space is a homogeneous-type space (X, ρ, μ), with the norm defined by ∥f∥ M q(⋅) p(⋅) = sup x∈X,r>0 (μ(B(x, r)))∥f∥Lq(⋅)(B(x,r)) where 1 < infX q ≤ q(⋅) ≤ p(⋅) ≤ supX p < ∞.”