English

$ {C}^2(\mathbb{R}^2) $ Nonnegative Extension by Bounded-depth Operators

Classical Analysis and ODEs 2020-08-13 v1

Abstract

In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) C2(R2) C^2(\mathbb{R}^2) extension operator with bounded depth.

Cite

@article{arxiv.2008.04962,
  title  = {$ {C}^2(\mathbb{R}^2) $ Nonnegative Extension by Bounded-depth Operators},
  author = {Fushuai Jiang and Garving K. Luli},
  journal= {arXiv preprint arXiv:2008.04962},
  year   = {2020}
}

Comments

25 pages

R2 v1 2026-06-23T17:47:25.189Z