L^p Mapping Properties for the Cauchy-Riemann Equations on Lipschitz\n Domains Admitting Subelliptic Estimates

2017/05/20 by Phillip S. Harrington, Harrington, Phillip S., Yunus E. Zeytuncu +1 · 1 citation
Mathematics · #Holomorphic and Operator Theory #Advanced Banach Space Theory #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.1705.07374

Abstract

We show that on bounded Lipschitz pseudoconvex domains that admit good weight\nfunctions the \\∂-Neumann operators N_q,\n\\∂^* N_q, and \\∂ N_q are bounded on\nL^p spaces for some values of p greater than 2.\n

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