∂-Estimates on the product of bounded Lipschitz domain

2024/08/30 by Song-Ying Li, Li, Song-Ying, Sujuan Long +3
Computer Science · Mathematics · #32W05 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.2409.00293

openalex publication_date 2024/08/30 · openalex created_date 2024/09/29 · openalex updated_date 2026/07/28

Abstract

Let D be a bounded domain in the complex plane with Lipschitz boundary. In the paper, we construct an integral solution operator T[f] for any ∂ closed (0,1)-form f∈ L^p_(0,1)(Dⁿ) solving the Cauchy-Riemain equation ∂ u=f on the product domains Dⁿ and obtain the L^p-estimates for all 1

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