English

C\'ordoba's differentation theorem: revisited

Classical Analysis and ODEs 2022-06-01 v1

Abstract

In this paper we prove an exponential covering lemma implying the three dimensional case of a well-known conjecture formulated by A. Zygmund circa 1935 and solved by A. C\'ordoba in 1978. Our approach avoids a subtle argument involving the power series of the exponential function.

Cite

@article{arxiv.2205.15309,
  title  = {C\'ordoba's differentation theorem: revisited},
  author = {Ángel D. Martínez},
  journal= {arXiv preprint arXiv:2205.15309},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:1711.00803

R2 v1 2026-06-24T11:33:33.103Z