Invariant Potential Theory in the Unit Ball of Cn
This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szego integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tange…
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Produktdetails
- ISBN: 978-0-511-89296-7
- EAN: 9780511892967
- Produktnummer: 14823837
- Verlag: Cambridge University Press
- Sprache: Englisch
- Erscheinungsjahr: 1994
- Seitenangabe: 0 S.
- Plattform: PDF
- Masse: 5'958 KB
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