English

Boundedness of variation, oscillation and maximal differential transform on BMO space

Analysis of PDEs 2024-06-05 v1

Abstract

In this paper, we prove that the oscillation operator, variation operator and maximal differential transform associated with the approximate identities are bounded from BMO(Rn){\rm BMO}({\mathbb R}^n) to its subspace BLO(Rn){\rm BLO}({\mathbb R}^n).

Keywords

Cite

@article{arxiv.2406.02087,
  title  = {Boundedness of variation, oscillation and maximal differential transform on BMO space},
  author = {Wenting Hu and Kai Wu and Dongyong Yang and Chao Zhang},
  journal= {arXiv preprint arXiv:2406.02087},
  year   = {2024}
}
R2 v1 2026-06-28T16:52:35.828Z