English

An Algebra Containing the Two-Sided Convolution Operators

Classical Analysis and ODEs 2008-02-14 v1

Abstract

We present an intrinsically defined algebra of operators containing the right and left invariant Calder\'on-Zygmund operators on a stratified group. The operators in our algebra are pseudolocal and bounded on L^p (1<p<\infty). This algebra provides an example of an algebra of singular integrals that falls outside of the classical Calder\'on-Zygmund theory.

Keywords

Cite

@article{arxiv.0802.1807,
  title  = {An Algebra Containing the Two-Sided Convolution Operators},
  author = {Brian Street},
  journal= {arXiv preprint arXiv:0802.1807},
  year   = {2008}
}

Comments

69 pages

R2 v1 2026-06-21T10:12:12.891Z