English

Non-homogeneous T1 theorem for bi-parameter singular integrals

Classical Analysis and ODEs 2014-07-14 v2

Abstract

We prove a non-homogeneous T1 theorem for certain bi-parameter singular integral operators. Moreover, we discuss the related non-homogeneous Journe's lemma and product BMO theory.

Cite

@article{arxiv.1209.4473,
  title  = {Non-homogeneous T1 theorem for bi-parameter singular integrals},
  author = {Tuomas Hytönen and Henri Martikainen},
  journal= {arXiv preprint arXiv:1209.4473},
  year   = {2014}
}

Comments

v2: Substantial revision with a better version of the main theorem (diagonal BMO assumptions weakened). 45 pages

R2 v1 2026-06-21T22:08:21.840Z