A sharp estimate for the Hardy-Littlewood maximal function

Details A sharp estimate for the Hardy-Littlewood maximal function A sharp estimate for the Hardy-Littlewood maximal function

1997-04-07

arxiv.org/abs/math/9704211v2

Studia Math, 134, (1999), 57-67

Mathematics

Functional Analysis

Also available at http://www.math.missouri.edu/~stephen/preprints/

Scientific paper

The best constant in the usual Lp norm inequality for the centered Hardy-Littlewood maximal function on R1 is obtained for the class of all ``peak-shaped'' functions. A positive function on the line is called ``peak-shaped'' if it is positive and convex except at one point. The techniques we use include convexity and an adaptation of the standard Euler-Langrange variational method.

Affiliated with

Also associated with

No associations

Rating

A sharp estimate for the Hardy-Littlewood maximal function 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 A sharp estimate for the Hardy-Littlewood maximal function, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A sharp estimate for the Hardy-Littlewood maximal function will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-399204