English

The Fefferman-Stein type inequality for strong maximal operator in the heigher dimensions

Classical Analysis and ODEs 2016-11-15 v2

Abstract

The Fefferman-Stein type inequality for strong maximal operator is verified with compositions of some maximal operators in the heigher dimensions. An elementary proof of the endpoint estimate for the strong maximal operator is also given.

Keywords

Cite

@article{arxiv.1611.01252,
  title  = {The Fefferman-Stein type inequality for strong maximal operator in the heigher dimensions},
  author = {Hitoshi Tanaka},
  journal= {arXiv preprint arXiv:1611.01252},
  year   = {2016}
}

Comments

I find an error in the proof of Theorem 3.1 and I repair it in this version

R2 v1 2026-06-22T16:41:49.144Z