Differentiating Orlicz spaces with rare bases of rectangles
Classical Analysis and ODEs
2018-08-23 v1
Abstract
In the current paper, we study how the speed of convergence of a sequence of angles decreasing to zero influences the possibility of constructing a rare differentiation basis of rectangles in the plane, one side of which makes with the horizontal axis an angle belonging to the given sequence, that differentiates precisely a fixed Orlicz space.
Keywords
Cite
@article{arxiv.1808.07283,
title = {Differentiating Orlicz spaces with rare bases of rectangles},
author = {Emma D 'Aniello and Laurent Moonens and Joseph Rosenblatt},
journal= {arXiv preprint arXiv:1808.07283},
year = {2018}
}