Sobolev embeddings for variable exponent riesz potentials on metric spaces

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Singular and fractional integral operators on Campanato spaces with variable growth conditions (2010, background): “Mizuta and Shimomura [14], Futamura, Mizuta and Shimomura [7, 8 ], etc.”
The maximal operator on weighted variable Lebesgue spaces (2011, background): “More general metric measure spaces have been studied for instance in [16, 18, 19, 28, 34]; the discrete weighted case was studied in [36].”
Sobolev embeddings in metric measure spaces with variable dimension (2006, background): “Riesz potentials in the variable exponent setting have to been studied for instance in [5,12,23,28].”
Sobolev inequalities with variable exponent attaining the values $1$ and $n$ (2008, unknown): “, in [1], [2], [4], [5], [8], [10], [11], [12], [13], [15], [16], [20], [24], [28] in the variable exponent setting.”
MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT (2009, methodology): “[20] T. Futamura, Y. Mizuta and T. Shimomura: Sobolev embeddings for variable exponent Riesz potentials on metric spaces, Ann.”
Variable exponent Sobolev spaces on metric measure spaces (2006, background): “Variable exponent Lebesgue spaces on metric measure spaces have been studied in [10, 17, 23].”