Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11) /

This book has as its subject the boundary value theory of holomorphic functions in several complex variables, a topic that is just now coming to the forefront of mathematical analysis. For one variable, the topic is classical and rather well understood. In several variables, the necessary understand...

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Detalles Bibliográficos
Autor principal: Stein, Elias M., 1931-2018 (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : University of Tokyo Press, 1972.
Colección:Book collections on Project MUSE.
Temas:
Holomorphic functions.
Harmonic functions.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Calculus.
Fonctions harmoniques.
Fonctions holomorphes.
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents ; Preface; Introduction; 1. Green's Function and Poisson Kernel for Domains in IRn ; 2. Boundaries; 3. Lemma for Harmonic Functions ; 4. Characterization of Poisson Integrals; 5. Maximal Functions ; 6. Local Fatou Theorem and Area Integral; 7. Bergman Kernel, Szegö Kernel, and Poisson-Szegö Kernel ; 8. The Unit Ball in Cn Additional References for Chapter I ; 9. The First Maximal Inequality and Its Application ; 10. The Second Maximal Inequalit and Its Application References for Chapter II ; 11. Potential Theory in the Context of a Preferred Kahlerian Metric.

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