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Our aim in this paper is to deal with Sobolev embeddings for Riesz potentials of functions in Morrey spaces L1,ν,β1 ,β2 (Rn) , as an extension of Trudinger [17], Serrin [14] and the authors [5] in the case of bounded open sets. We are mainly concerned with Trudinger’s type exponential integrability. Mathematics subject classification (2010): 31B15, 46E35.

Sobolev embeddings for Riesz potentials of functions in Morrey spaces L^1,ν,β_1,β_2(R^n)