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Our aim in this paper is to establish a generalization of Sobolev’s inequality for Riesz potentials 
$J_{\unicode[STIX]{x1D6FC}(\cdot )}^{\unicode[STIX]{x1D70E}}f$ of functions 
$f$ in Musielak–Orlicz–Morrey spaces 
$L^{\unicode[STIX]{x1D6F7},\unicode[STIX]{x1D705}}(X)$. As a corollary we obtain Sobolev’s inequality for double phase functionals with variable exponents.
Our aim in this paper is to establish a generalization of Sobolev’s inequality for Riesz potentials 
$I_{\unicode[STIX]{x1D6FC}(\,\cdot \,),\unicode[STIX]{x1D70F}}f$ of order 
$\unicode[STIX]{x1D6FC}(\,\cdot \,)$ with 
$f\in L^{\unicode[STIX]{x1D6F7},\unicode[STIX]{x1D705},\unicode[STIX]{x1D703}}(X)$ over bounded non-doubling metric measure spaces. As a corollary we obtain Sobolev’s inequality for double phase functionals with variable exponents.
