Maximal averages over linear and monomial polyhedra

Nagel, Alexander; Pramanik, Malabika

Duke Math. J., Tome 146 (2009) no. 1, p. 209-277 / Harvested from Project Euclid

Résumé

We establish the $L^{p}$ -boundedness, for $1 \lt p \leq \infty$ , of maximal averages over sets defined by a finite number of monomial inequalities. The proof requires a detailed study of the geometric properties of these monomial polyhedra

Publié le : 2009-08-15
Classification: 42B25, 32A40

@article{1248182807,
     author = {Nagel, Alexander and Pramanik, Malabika},
     title = {Maximal averages over linear and monomial polyhedra},
     journal = {Duke Math. J.},
     volume = {146},
     number = {1},
     year = {2009},
     pages = { 209-277},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1248182807}
}

Nagel, Alexander; Pramanik, Malabika. Maximal averages over linear and monomial polyhedra. Duke Math. J., Tome 146 (2009) no. 1, pp.  209-277. http://gdmltest.u-ga.fr/item/1248182807/