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
M. Miettinen, Adams inequality on metric measure spaces. Rev. Mat. Iberoam. 25 (2009), no. 2, pp. 533–558DOI 10.4171/RMI/575