Adams inequality on metric measure spaces

Tero Mäkäläinen

doi:10.4171/rmi/575

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.

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

DOI 10.4171/RMI/575