Another counterexample to Zygmund's conjecture
Classical Analysis and ODEs
2020-04-07 v2 Functional Analysis
Abstract
We present a simple dyadic construction that yields a new counterexample to Zygmund's conjecture. Our result recovers Soria's classical result in dimension three, through a different construction, and gives new ones in all other dimensions .
Keywords
Cite
@article{arxiv.2003.11392,
title = {Another counterexample to Zygmund's conjecture},
author = {Guillermo Rey},
journal= {arXiv preprint arXiv:2003.11392},
year = {2020}
}
Comments
5 pages. Minor corrections, and the details of another counterexample