Abstract

We explore connections between geometric properties of the Levi foliation of a Levi-flat hypersurface $M$ and holomorphic convexity of compact sets in $M$, or bounded in part by $M$. Applications include extendability of Cauchy-Riemann functions, solvability of the $\overline {\partial }_b$-equation, approximation of Cauchy-Riemann and holomorphic functions, and global regularity of the $\overline {\partial }$-Neumann operator.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.