Boundedness of Maximal and Singular Operators in Morrey Spaces with Variable Exponent

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Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces (2010, background): “Note that the boundedness of the maximal operator in Morrey spaces with variable p(x) was studied in [21] in the more general setting of quasimetric measure spaces.”
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 < ∞.”
Weighted Hardy and singular operators in Morrey spaces (2008, background): “2 Singular Cauchy operator along Carleson curves in Morrey spaces; non-weighted case The following theorem was proved in a recent paper [23] in cas e of bounded curves, but in a more general setting of variable exponents.”
Calderón–Zygmund operators in Morrey spaces (2014, unknown): “We refer in particular to [8,10,11,13–15,17,19,20,28,30–32,36].”
ATOMIC DECOMPOSITION OF HARDY-MORREY SPACES WITH VARIABLE EXPONENTS (2015, methodology): “The variable exponent analysis also covers the studies of Morrey spaces [2, 26, 30, 32, 35], Besov spaces and Triebel–Lizorkin spaces [3, 18, 22, 61, 62].”