English

Vector valued inequalities and Littlewood-Paley operators on Hardy spaces

Classical Analysis and ODEs 2016-09-07 v2

Abstract

We prove certain vector valued inequalities related to Littlewood-Paley theory on Euclidean spaces. They can be used in proving characterization of the Hardy spaces in terms of Littlewood-Paley operators by methods of real analysis.

Keywords

Cite

@article{arxiv.1608.08059,
  title  = {Vector valued inequalities and Littlewood-Paley operators on Hardy spaces},
  author = {Shuichi Sato},
  journal= {arXiv preprint arXiv:1608.08059},
  year   = {2016}
}

Comments

15 pages; mathematically unchanged; a generalization is in arXiv:1607.03645