English

On Positivity Preserving, Translation Invariant, Operators in $L^p(\mathbb{R}^n)^m$

Functional Analysis 2017-12-15 v1

Abstract

We characterize positivity preserving, translation invariant, linear operators in Lp(Rn)mL^p(\mathbb{R}^n)^m, p[1,)p \in [1,\infty), m,nNm,n \in \mathbb{N}.

Keywords

Cite

@article{arxiv.1712.05104,
  title  = {On Positivity Preserving, Translation Invariant, Operators in $L^p(\mathbb{R}^n)^m$},
  author = {Fritz Gesztesy and Michael M. H. Pang},
  journal= {arXiv preprint arXiv:1712.05104},
  year   = {2017}
}

Comments

14 pages