English

Comparison of T1 conditions for multiparameter operators

Classical Analysis and ODEs 2014-04-02 v2

Abstract

We prove that for L2L^2 bounded operators T, the classes of operators defined in the language of vector-valued Calder\'on-Zygmund theory by Journ\'e in his proof of the T1 theorem on product spaces is of the same class as the later biparameter operators defined as the Pott and Villarroya type in their proof of the T1 theorem on product spaces.

Keywords

Cite

@article{arxiv.1403.7968,
  title  = {Comparison of T1 conditions for multiparameter operators},
  author = {Ana Grau de la Herrán},
  journal= {arXiv preprint arXiv:1403.7968},
  year   = {2014}
}