JournalsrmiVol. 25, No. 2pp. 533–558

Adams inequality on metric measure spaces

  • Tero Mäkäläinen

    University of Jyväskylä, Finland
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Abstract

In this paper, we prove the Adams inequality in complete metric spaces supporting a Poincaré inequality with a doubling measure. We also prove the trace inequalities for the Riesz potentials.

Cite this article

Tero Mäkäläinen, Adams inequality on metric measure spaces. Rev. Mat. Iberoam. 25 (2009), no. 2, pp. 533–558

DOI 10.4171/RMI/575