English

Singular integral operators on tent spaces

Classical Analysis and ODEs 2012-03-20 v2 Functional Analysis

Abstract

We extend the recent results concerning boundedness of the maximal regularity operator on tent spaces. This leads us to develop a singular integral operator theory on tent spaces. Such operators have operator-valued kernels. A seemingly appropriate condition on the kernel is time-space decay measured by off-diagonal estimates with various exponents.

Keywords

Cite

@article{arxiv.1112.4292,
  title  = {Singular integral operators on tent spaces},
  author = {Pascal Auscher and Christoph Kriegler and Sylvie Monniaux and Pierre Portal},
  journal= {arXiv preprint arXiv:1112.4292},
  year   = {2012}
}

Comments

modification of the introduction and references added as suggested by the referee

R2 v1 2026-06-21T19:53:38.478Z