JournalszaaVol. 30, No. 2pp. 219–236

The Riesz Potential Operator in Optimal Couples of Rearrangement Invariant Spaces

  • Claudia Capone

    Consiglio Nazionale delle Ricerche, Napoli, Italy
  • Alberto Fiorenza

    Università degli Studi di Napoli Federico II, Italy
  • G. E. Karadzhov

    Bulgarian Acedemy of Sciences, Sofia, Bulgaria
  • Waqas Nazeer

    GC University, Lahore, Pakistan
The Riesz Potential Operator in Optimal Couples of Rearrangement Invariant Spaces cover
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Abstract

We prove continuity of the Riesz potential operator in optimal couples of rearrangement invariant function spaces defined in Rn{\mathbf R}^n with the Lebesgue measure. An application is given to the Hardy–Littlewood maximal operator.

Cite this article

Claudia Capone, Alberto Fiorenza, G. E. Karadzhov, Waqas Nazeer, The Riesz Potential Operator in Optimal Couples of Rearrangement Invariant Spaces. Z. Anal. Anwend. 30 (2011), no. 2, pp. 219–236

DOI 10.4171/ZAA/1432