English

Spaces between $H^1$ and $L^1$

Functional Analysis 2013-10-15 v2 Classical Analysis and ODEs

Abstract

In this paper we consider the XsX_s spaces that lie between H1(Rn)H^1(R^n) and L1(Rn)L^1(R^n). We discuss the interpolation properties of these spaces, and the behavior of maximal functions and singular integrals acting on them.

Cite

@article{arxiv.math/0511207,
  title  = {Spaces between $H^1$ and $L^1$},
  author = {Wael Abushammala and Alberto Torchinsky},
  journal= {arXiv preprint arXiv:math/0511207},
  year   = {2013}
}