L� Approaches in Several Complex Variables: Development of Oka-Cartan Theory by L� Estimates for the D-Bar Operator

By Takeo Ohsawa

Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of L Estimates.- Basics of Hilb

ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V L Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.

• Format: Paperback
• Language: English
• ISBN: 4431562966
• ISBN13: 9784431562962
• Release Date: August 2016
• Publisher: Springer
• Length: 196 Pages
• Weight: 0.66 lbs.
• Dimensions: 0.4" x 6.1" x 9.2"