A remark on optimal data spaces for classical solutions of ∂

2020/10/27 by Martino Fassina, Yifei Pan, Fassina, Martino +3
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Primary 45E05 #Secondary 45P05

paper · pdf · doi:10.48550/arxiv.2010.14650

openalex publication_date 2020/10/27 · openalex created_date 2020/11/09 · openalex updated_date 2026/07/28

Abstract

We study the minimal regularity required on the datum to guarantee the existence of classical C¹ solutions to the inhomogeneous Cauchy-Riemann equations on planar domains.

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