Sobolev embeddings for Riesz potentials of functions in Morrey spaces of variable exponent

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Singular and fractional integral operators on Campanato spaces with variable growth conditions (2010, background): “Shimomura [ 15 ]. We consider Campanato spaces which contain Lebesgue spaces and Morrey spaces as special cases.”
Boundedness of maximal operators and Sobolevʼs inequality on Musielak–Orlicz–Morrey spaces (2013, background): “On the other hand, variable exponent versions were discussed on bounded open sets in [3,12,15], etc.”
Boundedness of the maximal, potential and singular operators in the generalized variable exponent Morrey spaces (2010, background): “Variable exponent Morrey spaces L p(·),λ(·)( ), were introduced and studied in [2] and [29] in the Euclidean setting and in [21] in the setting of metric measure spaces, in case of bounded sets.”
Maximal functions and potentials in variable exponent Morrey spaces with non-doubling measure (2010, methodology): “In [31], Sobolev embeddings for the Riesz potentials of functions in Morrey spaces with variable exponent were studied.”
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents (2011, background): “For further related results, we refer the reader to the papers [3, 16, 17].”