Výsledky vyhledávání - Bergman spaces of functions in several complex variables

L2 Approaches in Several Complex Variables Towards the Oka-Cartan Theory with Precise Bounds / Autor Ohsawa, Takeo

Obsah: “…Part I Holomorphic Functions and Complex Spaces -- Convexity Notions -- Complex Manifolds -- Classical Questions of Several Complex Variables -- Part II The Method of L2 Estimates -- Basics of Hilbert Space Theory -- Harmonic Forms -- Vanishing Theorems -- Finiteness Theorems -- Notes on Complete Kahler Domains (= CKDs) -- Part III L2 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 L2 Approaches to Holomorphic Foliations -- Holomorphic Foliation and Stable Sets -- L2 Method Applied to Levi Flat Hypersurfaces -- LFHs in Tori and Hopf Surfaces.…”

Geometric Complex Analysis In Honor of Kang-Tae Kim's 60th Birthday, Gyeongju, Korea, 2017 /

Obsah: “…Adachi Masanori, On a hyperconvex manifold without non-constant bounded holomorphic functions -- Alekseevky Dmitri V., Ganji Masoud, Schmalz Gerd, CR-geometry and shearfree Lorentzian geometry -- Andrist Rafael B., Complex surfaces with many holomorphic automorphisms -- Bedford Eric, Fatou components for conservative holomorphic surface automorphisms -- Bland John, Burns Dan, Leung Kin-Kwan, A twistor transform for the Kobayashi metric on a convex domain -- Chen Bo-Yong, A degenerate Donnelly-Fefferman theorem and its applications -- Choi Young-Jun, Variation of K\"{a}hler-Einstein metrics on pseudoconvex domains -- Demailly Jean-Pierre, Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties -- Deng Fusheng, Ning Jiafu, Zhang Huiping, Zhou Xiangyu, Group actions in several complex variables: A survey -- Dong Robert Xin, Boundary asymptotics of the relative Bergman kernel metric for elliptic curves IV: Taylor series -- Forstneric Franc, Holomorphic embeddings and immersions of Stein manifolds: a survey -- Hamano Sachiko, Variation of Schiffer and hyperbolic spans under pseudoconvexity -- Hiep Pham Hoang, A survey on the weighted log canonical threshold and the weighted multiplier ideal sheaf -- Huang Xiaojun, Xiao Ming, A CR Embedding Problem for an Algebraic Levi Non-degenerate Hypersurface into a Hyperquadric -- Hwang Jun-Muk, Recognizing $G/P$ by varieties of minimal rational tangents -- Joo Jae-Cheon, Semicontinuity theorems for Holomorphic and CR Automorphism groups -- Khoi Le Hai, On $\calN_p$-spaces in the ball, Matsumoto Yoshihiko, Einstein metrics on strictly pseudoconvex domains from the viewpoint of bulk-boundary correspondence -- Matsumura Shin-ichi, Variation of numerical dimension of singular hermitian line bundles -- Miebach Christian, Oeljeklaus Karl, Schottky group actions in Complex Geometry -- Mok Ngaiming, Some recent results on holomorphic isometries of the complex unit ball into bounded symmetric domains and related problems -- Nguyên Viêt-Anh, Ergodic theory for Riemann surface laminations: a surve -- Ohsawa Takeo, A report on pseudoconvexity properties of analytic families of $\mathbb{C}$-bundles and $\mathbb{D}$-bundles -- Patrizio Giorgio, Spiro Andrea, Regularity of Kobayashi metric -- Sun Lijie, A Note on Poincar\'e's polyhedron theorem in complex hyperbolic space.…”