On the regularity of maximal operators

Details On the regularity of maximal operators On the regularity of maximal operators

2008-09-23

arxiv.org/abs/0809.4044v1

Proc. Amer. Math. Soc. 136 (2008), 4395-4404

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

10.1090/S0002-9939-08-09515-4

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.

Affiliated with

Also associated with

No associations

Rating

On the regularity of maximal operators does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the regularity of maximal operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the regularity of maximal operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-110267