JournalszaaVol. 36, No. 2pp. 159–190

Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces

  • Yoshihiro Sawano

    Tokyo Metropolitan University, Japan
  • Tetsu Shimomura

    Hiroshima University, Japan
Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces cover
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Abstract

Our aim in this paper is to deal with the boundedness of the generalized fractional integral operators on generalized Morrey spaces Lp,ϕ;2(X;μ)L_{p,\phi;2}(X;\mu) over metric measure spaces. We also discuss a necessary condition for the boundedness of the generalized fractional integral operators. As applications, we establish new results for the predual spaces.

Cite this article

Yoshihiro Sawano, Tetsu Shimomura, Boundedness of the Generalized Fractional Integral Operators on Generalized Morrey Spaces over Metric Measure Spaces. Z. Anal. Anwend. 36 (2017), no. 2, pp. 159–190

DOI 10.4171/ZAA/1584