Abstract
We establish the -boundedness, for , 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
Citation
Alexander Nagel. Malabika Pramanik. "Maximal averages over linear and monomial polyhedra." Duke Math. J. 149 (2) 209 - 277, 15 August 2009. https://doi.org/10.1215/00127094-2009-039
Information