Solutions of the divergence equation in Hardy and lipschitz spaces

2024/12/30 by María Eugenia Cejas, Ricardo G. Durán, Cejas, María Eugenia +1
Mathematics · #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2412.21048

openalex publication_date 2024/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a bounded domain Ø and f of zero integral, the existence of a vector fields \u vanishing on ∂Ø and satisfying \d\u=f has been widely studied because of its connection with many important problems. It is known that for f∈ L^p(Ø), 1

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