Generalizes Bessel and Lizorkin-Triebel spaces to Orlicz spaces, proves integer-order coincidence with Orlicz-Sobolev spaces, establishes fractional inclusions and a Strauss-type lemma, and gives atomic decompositions.
Riesz,L’int´ egrale de Riemann-Liouville et le probl` eme de Cauchy.(1949)
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Function spaces and potential theory in the Orlicz setting
Generalizes Bessel and Lizorkin-Triebel spaces to Orlicz spaces, proves integer-order coincidence with Orlicz-Sobolev spaces, establishes fractional inclusions and a Strauss-type lemma, and gives atomic decompositions.