English

Calder\'on-Zygmund operators in the Bessel setting for all possible type indices

Classical Analysis and ODEs 2023-10-25 v2

Abstract

In this paper we adapt the technique developed in [17] to show that many harmonic analysis operators in the Bessel setting, including maximal operators, Littlewood-Paley-Stein type square functions, multipliers of Laplace or Laplace-Stieltjes transform type and Riesz transforms are, or can be viewed as, Calder\'on-Zygmund operators for all possible values of type parameter λ\lambda in this context. This extends the results obtained recently in [7], which are valid only for a restricted range of λ\lambda.

Keywords

Cite

@article{arxiv.1110.5659,
  title  = {Calder\'on-Zygmund operators in the Bessel setting for all possible type indices},
  author = {Alejandro J. Castro and Tomasz Z. Szarek},
  journal= {arXiv preprint arXiv:1110.5659},
  year   = {2023}
}

Comments

12 pages