English

The local sharp maximal function and BMO on locally homogeneous spaces

Functional Analysis 2015-11-10 v1

Abstract

We prove a local version of Fefferman-Stein inequality for the local sharp maximal function, and a local version of John-Nirenberg inequality for locally BMO functions, in the framework of locally homogeneous spaces, in the sense of Bramanti-Zhu [Manuscripta Math. 138 (2012), no. 3-4, 477-528].

Keywords

Cite

@article{arxiv.1511.02384,
  title  = {The local sharp maximal function and BMO on locally homogeneous spaces},
  author = {Marco Bramanti and Maria Stella Fanciullo},
  journal= {arXiv preprint arXiv:1511.02384},
  year   = {2015}
}
R2 v1 2026-06-22T11:39:44.737Z