Abstract
Some notations and definitions Holomorphic functions Holomorphic convexity and domains of holomorphy Stein manifolds Subharmonic/Plurisubharmonic functions Pseudoconvex domains Invariant metrics Biholomorphic maps Counterexamples to smoothing of plurisubharmonic functions Complex Monge Ampere equation $H^\infty$-convexity CR-manifolds Pseudoconvex domains without pseudoconvex exhaustion Stein neighborhood basis Riemann domains over $\mathbb{C}^n$ The Kohn-Nirenberg example Peak points Bloom's example D'Angelo's example Integral manifolds Peak sets for A(D) Peak sets. Steps 1-4 Sup-norm estimates for the $\bar{\partial}$-equation Sibony's $\bar{\partial}$-example Hypoellipticity for $\bar{\partial}$ Inner functions Large maximum modulus sets Zero sets Nontangential boundary limits of functions in $H^\infty(\mathbb{B}^n$ Wermer's example The union problem Riemann domains Runge exhaustion Peak sets in weakly pseudoconvex boundaries The Kobayashi metric Bibliography.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
