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Boundary behavior of holomorphic functions of several complex variables /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press : University of Tokyo Press,
1972.
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| Colección: | Princeton legacy library.
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| Temas: | |
| 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.