Year: 2008
Type: article
Abstract: We study the regularity of the bilinear maximal operator when applied to Sobolev functions, proving that it maps $W^{1,p}(\mathbb {R}) \times W^{1,q}(\mathbb {R}) \to W^{1,r}(\mathbb {R})$ with $1 1$. We also investigate the almost everywhere and weak convergence under the action of the classical Hardy-Littlewood maximal operator, both in its global and local versions.
Authors: Emanuel Carneiro, Diego Moreira
Institutions: The University of Texas at Austin, University of Iowa
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W1972959686