| Invariant Potential Theory in the Unit Ball of Cn Contributor(s): Stoll, Manfred (Author) |
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ISBN: 0521468302 ISBN-13: 9780521468305 Publisher: Cambridge University Press OUR PRICE: $44.64 Product Type: Paperback - Other Formats Published: May 1994 Annotation: This monograph covers Poisson-Szego integrals on the ball, the Green's function for DEGREESD*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. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Probability & Statistics - General - Mathematics | Algebra - Abstract |
| Dewey: 515.94 |
| LCCN: 94220904 |
| Series: London Mathematical Society Lecture Notes |
| Physical Information: 0.48" H x 6.03" W x 8.97" (0.60 lbs) 184 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This monograph covers Poisson-Szeg integrals on the ball, the Green's function for D*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. It also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Greens potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. |
