C²(ℝ²) Nonnegative Extension by Bounded-depth Operators

2020/08/11 by Fushuai Jiang, Jiang, Fushuai, Garving K. Luli +1
Mathematics · #26B05 #41A05 #41A29 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #math.CA #msc:26B05 #msc:41A05 #msc:41A29

paper · pdf · doi:10.48550/arxiv.2008.04962

25 pages

arxiv created 2020/08/11 · openalex publication_date 2020/08/11 · arxiv updated 2020/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) C²(ℝ²) extension operator with bounded depth.

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