English

Convex body domination for the commutator of vector valued operators with multiple matrix-valued symbols

Functional Analysis 2026-04-14 v3 Classical Analysis and ODEs

Abstract

We provide convex body domination results for the generalized vector-valued commutator of those operators that admit specific forms of convex body domination themselves. We also prove some strong type estimates and other consequences of these results, and we study the BMO spaces that appear naturally in this context.

Keywords

Cite

@article{arxiv.2603.09628,
  title  = {Convex body domination for the commutator of vector valued operators with multiple matrix-valued symbols},
  author = {Joshua Isralowitz and Israel P. Rivera-Ríos and Francisco Sáez-Rivas},
  journal= {arXiv preprint arXiv:2603.09628},
  year   = {2026}
}

Comments

56 pages. Updated the title and made minor corrections