An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta}(G)$
Mizuta, Yoshihiro ; Nakai, Eiichi ; Ohno, Takao ; Shimomura, Tetsu
Hiroshima Math. J., Tome 38 (2008) no. 1, p. 425-436 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Our aim is to give an elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta}(G)$, as an extension of Serrin. We are mainly concerned with Trudinger's type exponential integrability for Riesz potentials.
Publié le : 2008-11-15
Classification:  Riesz potentials,  Sobolev’s inequality,  Trudinger’s exponential inequality,  Morrey space,  31B15,  46E35 
@article{1233152779,
     author = {Mizuta, Yoshihiro and Nakai, Eiichi and Ohno, Takao and Shimomura, Tetsu},
     title = {An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta}(G)$},
     journal = {Hiroshima Math. J.},
     volume = {38},
     number = {1},
     year = {2008},
     pages = { 425-436},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1233152779}
}

Mizuta, Yoshihiro; Nakai, Eiichi; Ohno, Takao; Shimomura, Tetsu. An elementary proof of Sobolev embeddings for Riesz potentials of functions in Morrey spaces $L^{1,\nu,\beta}(G)$. Hiroshima Math. J., Tome 38 (2008) no. 1, pp.  425-436. http://gdmltest.u-ga.fr/item/1233152779/