English

Compact $T(1)$ theorem \`a la Stein

Functional Analysis 2025-03-18 v2 Classical Analysis and ODEs

Abstract

We prove a compact T(1)T(1) theorem, involving quantitative estimates, analogous to the quantitative classical T(1)T(1) theorem due to Stein. We also discuss the CcC_c^\infty-to-CMOCMO mapping properties of non-compact Calder\'on-Zygmund operators.

Keywords

Cite

@article{arxiv.2405.08416,
  title  = {Compact $T(1)$ theorem \`a la Stein},
  author = {Árpád Bényi and Guopeng Li and Tadahiro Oh and Rodolfo H. Torres},
  journal= {arXiv preprint arXiv:2405.08416},
  year   = {2025}
}

Comments

24 pages. To appear in J. Funct. Anal

R2 v1 2026-06-28T16:26:35.748Z