Sobolev (1)/(2) estimates for ∂ equations on strictly pseudoconvex domains with C² boundary

2021/07/19 by Ziming Shi, Shi, Ziming, Liding Yao +1 · 1 citation
Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2107.08913

openalex publication_date 2021/07/19 · openalex created_date 2021/08/02 · openalex updated_date 2026/07/28

Abstract

We construct a solution operator for ∂ equation that gains (1)/(2) derivative in the fractional Sobolev space H^s,p on bounded strictly pseudoconvex domains in ℂⁿ with C² boundary, for all 1 < p < ∞ and s > (1)/(p).

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• A Solution Operator for the ∂ Equation in Sobolev Spaces of Negative Index

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