Adams inequality on metric measure spaces
Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, p. 533-558 / Harvested from Project Euclid
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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.
Publié le : 2009-06-15
Classification:  trace inequality,  Riesz potential,  metric space,  Sobolev function,  the Poincaré inequality,  46E35,  31C15,  26D10 
@article{1255440067,
     author = {M\"ak\"al\"ainen
,  
Tero},
     title = {Adams inequality on metric measure spaces},
     journal = {Rev. Mat. Iberoamericana},
     volume = {25},
     number = {1},
     year = {2009},
     pages = { 533-558},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255440067}
}

Mäkäläinen
,  
Tero. Adams inequality on metric measure spaces. Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, pp.  533-558. http://gdmltest.u-ga.fr/item/1255440067/