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

Phillip S. Harrington; Yunus E. Zeytuncu

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arXiv · 1705.07374

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

Phillip S. Harrington·Yunus E. Zeytuncu

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Abstract

We show that on bounded Lipschitz pseudoconvex domains that admit good weight functions the $\overline{\partial}$-Neumann operators $N_q, \overline{\partial}^* N_{q}$, and $\overline{\partial} N_{q}$ are bounded on $L^p$ spaces for some values of $p$ greater than 2.

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BibTeX RIS

Phillip S. Harrington, Yunus E. Zeytuncu. 2017-05-21. $L^p$ Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates. https://arxiv.org/abs/1705.07374

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