Differentiability of functions in the Zygmund class

Details Differentiability of functions in the Zygmund class Differentiability of functions in the Zygmund class

2010-12-16

arxiv.org/abs/1012.3545v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove that the Hausdorff dimension of the set of points where a function
in the Zygmund class in the euclidean space has bounded divided differences, is
bigger or equal to 1. A similar result for functions in the Small Zygmund class
is also proved and an example is constructed to show that these results are
sharp.

Affiliated with

Also associated with

No associations

Rating

Differentiability of functions in the Zygmund class 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 Differentiability of functions in the Zygmund class, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differentiability of functions in the Zygmund class will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-218654